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Finding the Fourth Proportional to 327.68, 449.76 and 291.92

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Solution

The fourth proportional to 327.68, 449.76 and 291.92 is: 400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.68 : 449.76 = 291.92 : x
  2. Step 2: Convert to fraction form
    327.68/449.76 = 291.92/x
  3. Step 3: Cross multiply
    327.68x = 449.76 × 291.92
  4. Step 4: Simplify right side
    327.68x = 131,293.94
  5. Step 5: Solve for x
    x = 131,293.94/327.68
  6. Step 6: Final answer
    x = 400.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.