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Finding the Fourth Proportional to 323.28, 481.11 and 311.76

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Solution

The fourth proportional to 323.28, 481.11 and 311.76 is: 463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.28 : 481.11 = 311.76 : x
  2. Step 2: Convert to fraction form
    323.28/481.11 = 311.76/x
  3. Step 3: Cross multiply
    323.28x = 481.11 × 311.76
  4. Step 4: Simplify right side
    323.28x = 149,990.85
  5. Step 5: Solve for x
    x = 149,990.85/323.28
  6. Step 6: Final answer
    x = 463.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.