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Finding the Fourth Proportional to 327.76, 490.60 and 217.86

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Solution

The fourth proportional to 327.76, 490.60 and 217.86 is: 326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.76 : 490.60 = 217.86 : x
  2. Step 2: Convert to fraction form
    327.76/490.60 = 217.86/x
  3. Step 3: Cross multiply
    327.76x = 490.60 × 217.86
  4. Step 4: Simplify right side
    327.76x = 106,882.12
  5. Step 5: Solve for x
    x = 106,882.12/327.76
  6. Step 6: Final answer
    x = 326.10

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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.