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Finding the Fourth Proportional to 327.52, 452.61 and 248.78

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Solution

The fourth proportional to 327.52, 452.61 and 248.78 is: 343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.52 : 452.61 = 248.78 : x
  2. Step 2: Convert to fraction form
    327.52/452.61 = 248.78/x
  3. Step 3: Cross multiply
    327.52x = 452.61 × 248.78
  4. Step 4: Simplify right side
    327.52x = 112,600.32
  5. Step 5: Solve for x
    x = 112,600.32/327.52
  6. Step 6: Final answer
    x = 343.80

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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.