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Finding the Fourth Proportional to 42.38, 63.19 and 41.33

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Solution

The fourth proportional to 42.38, 63.19 and 41.33 is: 61.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.38 : 63.19 = 41.33 : x
  2. Step 2: Convert to fraction form
    42.38/63.19 = 41.33/x
  3. Step 3: Cross multiply
    42.38x = 63.19 × 41.33
  4. Step 4: Simplify right side
    42.38x = 2,611.64
  5. Step 5: Solve for x
    x = 2,611.64/42.38
  6. Step 6: Final answer
    x = 61.62

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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.