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Finding the Fourth Proportional to 83.32, 114.62 and 82.04

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Solution

The fourth proportional to 83.32, 114.62 and 82.04 is: 112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.32 : 114.62 = 82.04 : x
  2. Step 2: Convert to fraction form
    83.32/114.62 = 82.04/x
  3. Step 3: Cross multiply
    83.32x = 114.62 × 82.04
  4. Step 4: Simplify right side
    83.32x = 9,403.42
  5. Step 5: Solve for x
    x = 9,403.42/83.32
  6. Step 6: Final answer
    x = 112.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.