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Finding the Fourth Proportional to 217.47, 326.39 and 89.31

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Solution

The fourth proportional to 217.47, 326.39 and 89.31 is: 134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.47 : 326.39 = 89.31 : x
  2. Step 2: Convert to fraction form
    217.47/326.39 = 89.31/x
  3. Step 3: Cross multiply
    217.47x = 326.39 × 89.31
  4. Step 4: Simplify right side
    217.47x = 29,149.44
  5. Step 5: Solve for x
    x = 29,149.44/217.47
  6. Step 6: Final answer
    x = 134.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.