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Finding the Fourth Proportional to 84.85, 116.92 and 62.98

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Solution

The fourth proportional to 84.85, 116.92 and 62.98 is: 86.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.85 : 116.92 = 62.98 : x
  2. Step 2: Convert to fraction form
    84.85/116.92 = 62.98/x
  3. Step 3: Cross multiply
    84.85x = 116.92 × 62.98
  4. Step 4: Simplify right side
    84.85x = 7,363.62
  5. Step 5: Solve for x
    x = 7,363.62/84.85
  6. Step 6: Final answer
    x = 86.78

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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.