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Finding the Fourth Proportional to 84.20, 125.28 and 82.58

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Solution

The fourth proportional to 84.20, 125.28 and 82.58 is: 122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.20 : 125.28 = 82.58 : x
  2. Step 2: Convert to fraction form
    84.20/125.28 = 82.58/x
  3. Step 3: Cross multiply
    84.20x = 125.28 × 82.58
  4. Step 4: Simplify right side
    84.20x = 10,345.62
  5. Step 5: Solve for x
    x = 10,345.62/84.20
  6. Step 6: Final answer
    x = 122.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.