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Finding the Fourth Proportional to 42.14, 63.31 and 39.84

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Solution

The fourth proportional to 42.14, 63.31 and 39.84 is: 59.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.14 : 63.31 = 39.84 : x
  2. Step 2: Convert to fraction form
    42.14/63.31 = 39.84/x
  3. Step 3: Cross multiply
    42.14x = 63.31 × 39.84
  4. Step 4: Simplify right side
    42.14x = 2,521.75
  5. Step 5: Solve for x
    x = 2,521.75/42.14
  6. Step 6: Final answer
    x = 59.85

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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.