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Finding the Fourth Proportional to 62.49, 93.69 and 42.24

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Solution

The fourth proportional to 62.49, 93.69 and 42.24 is: 63.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.49 : 93.69 = 42.24 : x
  2. Step 2: Convert to fraction form
    62.49/93.69 = 42.24/x
  3. Step 3: Cross multiply
    62.49x = 93.69 × 42.24
  4. Step 4: Simplify right side
    62.49x = 3,957.47
  5. Step 5: Solve for x
    x = 3,957.47/62.49
  6. Step 6: Final answer
    x = 63.33

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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.