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Finding the Fourth Proportional to 331.96, 495.20 and 315.76

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Solution

The fourth proportional to 331.96, 495.20 and 315.76 is: 471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.96 : 495.20 = 315.76 : x
  2. Step 2: Convert to fraction form
    331.96/495.20 = 315.76/x
  3. Step 3: Cross multiply
    331.96x = 495.20 × 315.76
  4. Step 4: Simplify right side
    331.96x = 156,364.35
  5. Step 5: Solve for x
    x = 156,364.35/331.96
  6. Step 6: Final answer
    x = 471.03

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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.