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Finding the Fourth Proportional to 323.91, 446.76 and 280.17

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Solution

The fourth proportional to 323.91, 446.76 and 280.17 is: 386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.91 : 446.76 = 280.17 : x
  2. Step 2: Convert to fraction form
    323.91/446.76 = 280.17/x
  3. Step 3: Cross multiply
    323.91x = 446.76 × 280.17
  4. Step 4: Simplify right side
    323.91x = 125,168.75
  5. Step 5: Solve for x
    x = 125,168.75/323.91
  6. Step 6: Final answer
    x = 386.43

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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.