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Finding the Fourth Proportional to 327.38, 450.63 and 280.71

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Solution

The fourth proportional to 327.38, 450.63 and 280.71 is: 386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.38 : 450.63 = 280.71 : x
  2. Step 2: Convert to fraction form
    327.38/450.63 = 280.71/x
  3. Step 3: Cross multiply
    327.38x = 450.63 × 280.71
  4. Step 4: Simplify right side
    327.38x = 126,492.69
  5. Step 5: Solve for x
    x = 126,492.69/327.38
  6. Step 6: Final answer
    x = 386.38

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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.