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Finding the Fourth Proportional to 83.26, 115.04 and 72.32

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Solution

The fourth proportional to 83.26, 115.04 and 72.32 is: 99.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.26 : 115.04 = 72.32 : x
  2. Step 2: Convert to fraction form
    83.26/115.04 = 72.32/x
  3. Step 3: Cross multiply
    83.26x = 115.04 × 72.32
  4. Step 4: Simplify right side
    83.26x = 8,319.33
  5. Step 5: Solve for x
    x = 8,319.33/83.26
  6. Step 6: Final answer
    x = 99.93

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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.