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Finding the Fourth Proportional to 217.67, 326.55 and 87.71

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Solution

The fourth proportional to 217.67, 326.55 and 87.71 is: 131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.67 : 326.55 = 87.71 : x
  2. Step 2: Convert to fraction form
    217.67/326.55 = 87.71/x
  3. Step 3: Cross multiply
    217.67x = 326.55 × 87.71
  4. Step 4: Simplify right side
    217.67x = 28,641.70
  5. Step 5: Solve for x
    x = 28,641.70/217.67
  6. Step 6: Final answer
    x = 131.58

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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.