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Finding the Fourth Proportional to 42.71, 64.01 and 40.49

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Solution

The fourth proportional to 42.71, 64.01 and 40.49 is: 60.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.71 : 64.01 = 40.49 : x
  2. Step 2: Convert to fraction form
    42.71/64.01 = 40.49/x
  3. Step 3: Cross multiply
    42.71x = 64.01 × 40.49
  4. Step 4: Simplify right side
    42.71x = 2,591.24
  5. Step 5: Solve for x
    x = 2,591.24/42.71
  6. Step 6: Final answer
    x = 60.68

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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.