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Finding the Fourth Proportional to 82.71, 114.20 and 76.88

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Solution

The fourth proportional to 82.71, 114.20 and 76.88 is: 106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.71 : 114.20 = 76.88 : x
  2. Step 2: Convert to fraction form
    82.71/114.20 = 76.88/x
  3. Step 3: Cross multiply
    82.71x = 114.20 × 76.88
  4. Step 4: Simplify right side
    82.71x = 8,778.74
  5. Step 5: Solve for x
    x = 8,778.74/82.71
  6. Step 6: Final answer
    x = 106.14

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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.