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Finding the Fourth Proportional to 83.21, 115.04 and 72.95

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Solution

The fourth proportional to 83.21, 115.04 and 72.95 is: 100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.21 : 115.04 = 72.95 : x
  2. Step 2: Convert to fraction form
    83.21/115.04 = 72.95/x
  3. Step 3: Cross multiply
    83.21x = 115.04 × 72.95
  4. Step 4: Simplify right side
    83.21x = 8,391.80
  5. Step 5: Solve for x
    x = 8,391.80/83.21
  6. Step 6: Final answer
    x = 100.85

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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.