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Finding the Fourth Proportional to 83.71, 116.08 and 80.98

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Solution

The fourth proportional to 83.71, 116.08 and 80.98 is: 112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.71 : 116.08 = 80.98 : x
  2. Step 2: Convert to fraction form
    83.71/116.08 = 80.98/x
  3. Step 3: Cross multiply
    83.71x = 116.08 × 80.98
  4. Step 4: Simplify right side
    83.71x = 9,400.16
  5. Step 5: Solve for x
    x = 9,400.16/83.71
  6. Step 6: Final answer
    x = 112.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.