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Finding the Fourth Proportional to 337.91, 462.78 and 326.97

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Solution

The fourth proportional to 337.91, 462.78 and 326.97 is: 447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.91 : 462.78 = 326.97 : x
  2. Step 2: Convert to fraction form
    337.91/462.78 = 326.97/x
  3. Step 3: Cross multiply
    337.91x = 462.78 × 326.97
  4. Step 4: Simplify right side
    337.91x = 151,315.18
  5. Step 5: Solve for x
    x = 151,315.18/337.91
  6. Step 6: Final answer
    x = 447.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.