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Finding the Fourth Proportional to 42.16, 62.76 and 41.52

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Solution

The fourth proportional to 42.16, 62.76 and 41.52 is: 61.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.16 : 62.76 = 41.52 : x
  2. Step 2: Convert to fraction form
    42.16/62.76 = 41.52/x
  3. Step 3: Cross multiply
    42.16x = 62.76 × 41.52
  4. Step 4: Simplify right side
    42.16x = 2,605.80
  5. Step 5: Solve for x
    x = 2,605.80/42.16
  6. Step 6: Final answer
    x = 61.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.