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Finding the Fourth Proportional to 83.88, 126.47 and 82.80

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Solution

The fourth proportional to 83.88, 126.47 and 82.80 is: 124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.88 : 126.47 = 82.80 : x
  2. Step 2: Convert to fraction form
    83.88/126.47 = 82.80/x
  3. Step 3: Cross multiply
    83.88x = 126.47 × 82.80
  4. Step 4: Simplify right side
    83.88x = 10,471.30
  5. Step 5: Solve for x
    x = 10,471.30/83.88
  6. Step 6: Final answer
    x = 124.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.