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Finding the Fourth Proportional to 331.61, 494.45 and 319.76

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Solution

The fourth proportional to 331.61, 494.45 and 319.76 is: 476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.61 : 494.45 = 319.76 : x
  2. Step 2: Convert to fraction form
    331.61/494.45 = 319.76/x
  3. Step 3: Cross multiply
    331.61x = 494.45 × 319.76
  4. Step 4: Simplify right side
    331.61x = 158,105.33
  5. Step 5: Solve for x
    x = 158,105.33/331.61
  6. Step 6: Final answer
    x = 476.78

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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.