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Finding the Fourth Proportional to 83.77, 116.10 and 80.93

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Solution

The fourth proportional to 83.77, 116.10 and 80.93 is: 112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.77 : 116.10 = 80.93 : x
  2. Step 2: Convert to fraction form
    83.77/116.10 = 80.93/x
  3. Step 3: Cross multiply
    83.77x = 116.10 × 80.93
  4. Step 4: Simplify right side
    83.77x = 9,396.26
  5. Step 5: Solve for x
    x = 9,396.26/83.77
  6. Step 6: Final answer
    x = 112.17

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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.