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Finding the Fourth Proportional to 83.28, 115.42 and 82.24

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Solution

The fourth proportional to 83.28, 115.42 and 82.24 is: 113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.28 : 115.42 = 82.24 : x
  2. Step 2: Convert to fraction form
    83.28/115.42 = 82.24/x
  3. Step 3: Cross multiply
    83.28x = 115.42 × 82.24
  4. Step 4: Simplify right side
    83.28x = 9,492.14
  5. Step 5: Solve for x
    x = 9,492.14/83.28
  6. Step 6: Final answer
    x = 113.98

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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.