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Finding the Fourth Proportional to 41.34, 62.24 and 31.24

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Solution

The fourth proportional to 41.34, 62.24 and 31.24 is: 47.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.34 : 62.24 = 31.24 : x
  2. Step 2: Convert to fraction form
    41.34/62.24 = 31.24/x
  3. Step 3: Cross multiply
    41.34x = 62.24 × 31.24
  4. Step 4: Simplify right side
    41.34x = 1,944.38
  5. Step 5: Solve for x
    x = 1,944.38/41.34
  6. Step 6: Final answer
    x = 47.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.