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Finding the Fourth Proportional to 82.92, 115.05 and 82.08

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Solution

The fourth proportional to 82.92, 115.05 and 82.08 is: 113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.92 : 115.05 = 82.08 : x
  2. Step 2: Convert to fraction form
    82.92/115.05 = 82.08/x
  3. Step 3: Cross multiply
    82.92x = 115.05 × 82.08
  4. Step 4: Simplify right side
    82.92x = 9,443.30
  5. Step 5: Solve for x
    x = 9,443.30/82.92
  6. Step 6: Final answer
    x = 113.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.