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Finding the Fourth Proportional to 83.28, 113.94 and 82.95

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Solution

The fourth proportional to 83.28, 113.94 and 82.95 is: 113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.28 : 113.94 = 82.95 : x
  2. Step 2: Convert to fraction form
    83.28/113.94 = 82.95/x
  3. Step 3: Cross multiply
    83.28x = 113.94 × 82.95
  4. Step 4: Simplify right side
    83.28x = 9,451.32
  5. Step 5: Solve for x
    x = 9,451.32/83.28
  6. Step 6: Final answer
    x = 113.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.