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Finding the Fourth Proportional to 82.87, 114.29 and 77.97

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Solution

The fourth proportional to 82.87, 114.29 and 77.97 is: 107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.87 : 114.29 = 77.97 : x
  2. Step 2: Convert to fraction form
    82.87/114.29 = 77.97/x
  3. Step 3: Cross multiply
    82.87x = 114.29 × 77.97
  4. Step 4: Simplify right side
    82.87x = 8,910.80
  5. Step 5: Solve for x
    x = 8,910.80/82.87
  6. Step 6: Final answer
    x = 107.53

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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.