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Finding the Fourth Proportional to 327.78, 491.15 and 132.66

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Solution

The fourth proportional to 327.78, 491.15 and 132.66 is: 198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.78 : 491.15 = 132.66 : x
  2. Step 2: Convert to fraction form
    327.78/491.15 = 132.66/x
  3. Step 3: Cross multiply
    327.78x = 491.15 × 132.66
  4. Step 4: Simplify right side
    327.78x = 65,155.30
  5. Step 5: Solve for x
    x = 65,155.30/327.78
  6. Step 6: Final answer
    x = 198.78

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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.