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Finding the Fourth Proportional to 327.38, 451.17 and 261.86

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Solution

The fourth proportional to 327.38, 451.17 and 261.86 is: 360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.38 : 451.17 = 261.86 : x
  2. Step 2: Convert to fraction form
    327.38/451.17 = 261.86/x
  3. Step 3: Cross multiply
    327.38x = 451.17 × 261.86
  4. Step 4: Simplify right side
    327.38x = 118,143.38
  5. Step 5: Solve for x
    x = 118,143.38/327.38
  6. Step 6: Final answer
    x = 360.88

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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.