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Finding the Fourth Proportional to 41.38, 61.92 and 31.26

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Solution

The fourth proportional to 41.38, 61.92 and 31.26 is: 46.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.38 : 61.92 = 31.26 : x
  2. Step 2: Convert to fraction form
    41.38/61.92 = 31.26/x
  3. Step 3: Cross multiply
    41.38x = 61.92 × 31.26
  4. Step 4: Simplify right side
    41.38x = 1,935.62
  5. Step 5: Solve for x
    x = 1,935.62/41.38
  6. Step 6: Final answer
    x = 46.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.