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Finding the Fourth Proportional to 42.52, 64.09 and 39.91

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Solution

The fourth proportional to 42.52, 64.09 and 39.91 is: 60.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.52 : 64.09 = 39.91 : x
  2. Step 2: Convert to fraction form
    42.52/64.09 = 39.91/x
  3. Step 3: Cross multiply
    42.52x = 64.09 × 39.91
  4. Step 4: Simplify right side
    42.52x = 2,557.31
  5. Step 5: Solve for x
    x = 2,557.31/42.52
  6. Step 6: Final answer
    x = 60.15

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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.