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Finding the Fourth Proportional to 42.71, 59.22 and 41.20

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Solution

The fourth proportional to 42.71, 59.22 and 41.20 is: 57.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.71 : 59.22 = 41.20 : x
  2. Step 2: Convert to fraction form
    42.71/59.22 = 41.20/x
  3. Step 3: Cross multiply
    42.71x = 59.22 × 41.20
  4. Step 4: Simplify right side
    42.71x = 2,439.72
  5. Step 5: Solve for x
    x = 2,439.72/42.71
  6. Step 6: Final answer
    x = 57.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.