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Finding the Fourth Proportional to 83.55, 114.57 and 82.81

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Solution

The fourth proportional to 83.55, 114.57 and 82.81 is: 113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.55 : 114.57 = 82.81 : x
  2. Step 2: Convert to fraction form
    83.55/114.57 = 82.81/x
  3. Step 3: Cross multiply
    83.55x = 114.57 × 82.81
  4. Step 4: Simplify right side
    83.55x = 9,487.54
  5. Step 5: Solve for x
    x = 9,487.54/83.55
  6. Step 6: Final answer
    x = 113.56

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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.