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Finding the Fourth Proportional to 331.26, 494.22 and 315.78

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Solution

The fourth proportional to 331.26, 494.22 and 315.78 is: 471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.26 : 494.22 = 315.78 : x
  2. Step 2: Convert to fraction form
    331.26/494.22 = 315.78/x
  3. Step 3: Cross multiply
    331.26x = 494.22 × 315.78
  4. Step 4: Simplify right side
    331.26x = 156,064.79
  5. Step 5: Solve for x
    x = 156,064.79/331.26
  6. Step 6: Final answer
    x = 471.12

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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.