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Finding the Fourth Proportional to 327.62, 452.48 and 217.58

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Solution

The fourth proportional to 327.62, 452.48 and 217.58 is: 300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.62 : 452.48 = 217.58 : x
  2. Step 2: Convert to fraction form
    327.62/452.48 = 217.58/x
  3. Step 3: Cross multiply
    327.62x = 452.48 × 217.58
  4. Step 4: Simplify right side
    327.62x = 98,452.27
  5. Step 5: Solve for x
    x = 98,452.27/327.62
  6. Step 6: Final answer
    x = 300.51

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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.