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Finding the Fourth Proportional to 49.38, 74.20 and 31.42

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Solution

The fourth proportional to 49.38, 74.20 and 31.42 is: 47.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.38 : 74.20 = 31.42 : x
  2. Step 2: Convert to fraction form
    49.38/74.20 = 31.42/x
  3. Step 3: Cross multiply
    49.38x = 74.20 × 31.42
  4. Step 4: Simplify right side
    49.38x = 2,331.36
  5. Step 5: Solve for x
    x = 2,331.36/49.38
  6. Step 6: Final answer
    x = 47.21

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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.