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Finding the Fourth Proportional to 83.44, 124.19 and 82.78

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Solution

The fourth proportional to 83.44, 124.19 and 82.78 is: 123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.44 : 124.19 = 82.78 : x
  2. Step 2: Convert to fraction form
    83.44/124.19 = 82.78/x
  3. Step 3: Cross multiply
    83.44x = 124.19 × 82.78
  4. Step 4: Simplify right side
    83.44x = 10,280.45
  5. Step 5: Solve for x
    x = 10,280.45/83.44
  6. Step 6: Final answer
    x = 123.21

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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.