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Finding the Fourth Proportional to 330.38, 496.09 and 315.76

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Solution

The fourth proportional to 330.38, 496.09 and 315.76 is: 474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.38 : 496.09 = 315.76 : x
  2. Step 2: Convert to fraction form
    330.38/496.09 = 315.76/x
  3. Step 3: Cross multiply
    330.38x = 496.09 × 315.76
  4. Step 4: Simplify right side
    330.38x = 156,645.38
  5. Step 5: Solve for x
    x = 156,645.38/330.38
  6. Step 6: Final answer
    x = 474.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.