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Finding the Fourth Proportional to 84.17, 115.97 and 62.30

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Solution

The fourth proportional to 84.17, 115.97 and 62.30 is: 85.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.17 : 115.97 = 62.30 : x
  2. Step 2: Convert to fraction form
    84.17/115.97 = 62.30/x
  3. Step 3: Cross multiply
    84.17x = 115.97 × 62.30
  4. Step 4: Simplify right side
    84.17x = 7,224.91
  5. Step 5: Solve for x
    x = 7,224.91/84.17
  6. Step 6: Final answer
    x = 85.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.