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Finding the Fourth Proportional to 83.22, 123.84 and 82.98

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Solution

The fourth proportional to 83.22, 123.84 and 82.98 is: 123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.22 : 123.84 = 82.98 : x
  2. Step 2: Convert to fraction form
    83.22/123.84 = 82.98/x
  3. Step 3: Cross multiply
    83.22x = 123.84 × 82.98
  4. Step 4: Simplify right side
    83.22x = 10,276.24
  5. Step 5: Solve for x
    x = 10,276.24/83.22
  6. Step 6: Final answer
    x = 123.48

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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.