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Finding the Fourth Proportional to 83.89, 115.90 and 60.70

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Solution

The fourth proportional to 83.89, 115.90 and 60.70 is: 83.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.89 : 115.90 = 60.70 : x
  2. Step 2: Convert to fraction form
    83.89/115.90 = 60.70/x
  3. Step 3: Cross multiply
    83.89x = 115.90 × 60.70
  4. Step 4: Simplify right side
    83.89x = 7,035.13
  5. Step 5: Solve for x
    x = 7,035.13/83.89
  6. Step 6: Final answer
    x = 83.86

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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.