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Finding the Fourth Proportional to 83.32, 114.24 and 82

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Solution

The fourth proportional to 83.32, 114.24 and 82 is: 112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.32 : 114.24 = 82 : x
  2. Step 2: Convert to fraction form
    83.32/114.24 = 82/x
  3. Step 3: Cross multiply
    83.32x = 114.24 × 82
  4. Step 4: Simplify right side
    83.32x = 9,367.68
  5. Step 5: Solve for x
    x = 9,367.68/83.32
  6. Step 6: Final answer
    x = 112.43

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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.