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Finding the Fourth Proportional to 22.38, 30.76 and 20.31

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Solution

The fourth proportional to 22.38, 30.76 and 20.31 is: 27.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.38 : 30.76 = 20.31 : x
  2. Step 2: Convert to fraction form
    22.38/30.76 = 20.31/x
  3. Step 3: Cross multiply
    22.38x = 30.76 × 20.31
  4. Step 4: Simplify right side
    22.38x = 624.74
  5. Step 5: Solve for x
    x = 624.74/22.38
  6. Step 6: Final answer
    x = 27.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.