PaO2/FiO2 Ratio (P/F Ratio) Calculator

Calculate the P/F ratio as a bedside oxygenation measure and review it alongside Berlin ARDS severity bands, A-a gradient, oxygenation index, and estimated S/F ratio.

⚠️ Medical Disclaimer: ARDS diagnosis requires clinical and radiographic criteria in addition to the P/F ratio. Use this page as an educational bedside aid, not as a stand-alone treatment rule.
Arterial oxygen partial pressure (from ABG)
mmHg
Fraction of inspired oxygen (e.g., 21 for room air)
%
≥ 5 required for Berlin ARDS definition
cmH₂O
For Oxygenation Index
cmH₂O
For A-a gradient calculation
mmHg
Affects barometric pressure; 0 = sea level
meters
P/F Ratio
452
PaO₂/FiO₂. Normal > 400. ARDS: mild < 300, moderate < 200, severe < 100. Lower values = worse oxygenation.
ARDS Severity
No Berlin ARDS by P/F ratio
Berlin 2012 bands are only applied here when PEEP is at least 5 cmH₂O. Imaging, timing, and the broader clinical picture still matter.
A-a Gradient
4.7 mmHg
PAO₂ = 99.7 mmHg. Normal A-a: Age/4 + 4. Elevated = V/Q mismatch, shunt, or diffusion impairment.
Oxygenation Index
2.2
OI = (FiO₂ × MAP × 100) / PaO₂. Higher values indicate worse oxygenation while accounting for ventilator support.
S/F Ratio (est)
471
SpO₂/FiO₂ approximation. S/F of 235 ≈ P/F of 200; 315 ≈ P/F of 300. Useful when no ABG available.
Estimated SpO₂
98.9%
Approximated from PaO₂ using the oxygen dissociation curve.
P/F Ratio Scale
0100 (Severe)200 (Moderate)300 (Mild)500 (Normal)
P/F = 452No Berlin ARDS by P/F ratio

Berlin ARDS Classification (2012)

SeverityP/F RatioMortality
Mild ARDS200–30027%
Moderate ARDS100–20032%
Severe ARDS< 10045%

Oxygenation Index Reference

LevelOIMeaning
Mild< 5Minimal lung injury
Moderate5 – 15Moderate lung injury
Severe15 – 25Severe lung injury
Very Severe> 25Very severe oxygenation impairment; specialist review is usually needed
Planning notes, formulas, and examples

About the PaO2/FiO2 Ratio (P/F Ratio) Calculator

The **PaO₂/FiO₂ ratio** (P/F ratio) is a common bedside index of oxygenation efficiency. It standardizes arterial oxygen tension against the fraction of inspired oxygen so oxygenation can be compared at different FiO₂ levels. A normal P/F ratio is often around 400–500 (for example, PaO₂ 95 mmHg on room air gives about 452). Values below 300 suggest impaired oxygenation, and the **Berlin definition of ARDS** uses the ratio as one of its main severity criteria.

The Berlin criteria classify ARDS into three severities: **mild** (P/F 200–300), **moderate** (P/F 100–200), and **severe** (P/F < 100), all in the setting of PEEP ≥ 5 cmH₂O and compatible clinical and radiographic findings. The ratio helps organize severity, but it does not diagnose ARDS by itself and should not be interpreted without the broader respiratory context.

Beyond the P/F ratio, it shows complementary oxygenation metrics. The **A-a gradient** (alveolar-arterial oxygen difference) helps frame whether hypoxemia looks more like hypoventilation or a gas-exchange problem. The **oxygenation index** (OI = FiO₂ × MAP × 100 / PaO₂) adds ventilator-support context. The **S/F ratio** (SpO₂/FiO₂) is shown as a rough non-invasive approximation rather than a substitute for an arterial blood gas.

When This Page Helps

The P/F ratio is a practical way to summarize oxygenation impairment, but it becomes more useful when it is paired with the A-a gradient and oxygenation index instead of being viewed alone. This calculator keeps those values together so the severity label and the physiologic context can be reviewed in one place.

How to Use the Inputs

  1. Enter PaO₂ from arterial blood gas (ABG) result.
  2. Enter the FiO₂ as a percentage (21% for room air, up to 100%).
  3. Enter PEEP level (must be ≥ 5 for Berlin ARDS criteria).
  4. Enter the mean airway pressure for Oxygenation Index calculation.
  5. Enter PaCO₂ for A-a gradient. Optionally adjust for altitude.
  6. Use presets for normal, mild/moderate/severe ARDS, and high-flow scenarios.
Formula used
P/F Ratio = PaO₂ / FiO₂ (decimal). A-a Gradient = PAO₂ − PaO₂, where PAO₂ = FiO₂(Patm − 47) − PaCO₂/0.8. Oxygenation Index = (FiO₂ × MAP × 100) / PaO₂. Normal A-a gradient ≈ Age/4 + 4.

Example Calculation

Result: P/F = 117 — Moderate ARDS

PaO₂ 70 / FiO₂ 0.60 = 117. With PEEP ≥ 5, this falls in the moderate ARDS range (100–200). OI = (0.60 × 18 × 100)/70 = 15.4, indicating severe oxygenation impairment.

Tips & Best Practices

  • Always verify FiO₂ accuracy — nasal cannula FiO₂ varies with respiratory rate and tidal volume.
  • P/F ratio does not account for ventilator support; use OI for a more complete picture.
  • Use the ratio as a severity summary, not as a stand-alone ventilation or rescue-therapy protocol.
  • Serial P/F ratios over 24–48 hours are more useful than a single measurement for prognostication.

Read the Ratio With the Ventilator Context

The same PaO2/FiO2 value means something different on room air than it does on high ventilator support. That is why the ratio is most helpful when PEEP, FiO2, and mean airway pressure are considered at the same time rather than as separate numbers.

Use Multiple Oxygenation Markers

The P/F ratio is good for severity classification, but the A-a gradient and oxygenation index add information about mechanism and ventilator burden. Together, they help distinguish poor oxygenation from poor ventilation strategy or inadequate support.

Trend Over Time

One value gives a snapshot. A sequence of values over hours to days is more useful for judging response to therapy, especially when prone positioning, PEEP changes, or ECMO consideration are on the table.

Sources & Methodology

Last updated:

Methodology

This page calculates the PaO₂/FiO₂ ratio by dividing arterial oxygen tension by inspired oxygen fraction expressed as a decimal, then places the result next to the Berlin ARDS severity bands when the entered PEEP meets the 5 cmH₂O threshold used in the definition. It also computes the alveolar oxygen estimate and A-a gradient from FiO₂, barometric pressure, and PaCO₂, and it adds an oxygenation index based on mean airway pressure so oxygenation can be reviewed with some ventilator-support context. The S/F ratio shown on the page is only a rough noninvasive approximation.

The page is an oxygenation worksheet, not an ARDS diagnosis or rescue-therapy protocol. ARDS still requires the broader Berlin clinical and imaging criteria, and ventilator changes, prone positioning, ECMO decisions, and other treatment steps depend on the full ICU picture rather than on the ratio alone.

Sources

Frequently Asked Questions

  • Normal P/F is 400–500. On room air (FiO₂ 0.21), a PaO₂ of 95 gives P/F = 452. Values below 300 suggest oxygenation impairment.