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Finding the Fourth Proportional to 327.48, 452.18 and 217.11

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Solution

The fourth proportional to 327.48, 452.18 and 217.11 is: 299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.48 : 452.18 = 217.11 : x
  2. Step 2: Convert to fraction form
    327.48/452.18 = 217.11/x
  3. Step 3: Cross multiply
    327.48x = 452.18 × 217.11
  4. Step 4: Simplify right side
    327.48x = 98,171.71
  5. Step 5: Solve for x
    x = 98,171.71/327.48
  6. Step 6: Final answer
    x = 299.78

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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.