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Finding the Fourth Proportional to 408.41, 562.94 and 319.73

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Solution

The fourth proportional to 408.41, 562.94 and 319.73 is: 440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.41 : 562.94 = 319.73 : x
  2. Step 2: Convert to fraction form
    408.41/562.94 = 319.73/x
  3. Step 3: Cross multiply
    408.41x = 562.94 × 319.73
  4. Step 4: Simplify right side
    408.41x = 179,988.61
  5. Step 5: Solve for x
    x = 179,988.61/408.41
  6. Step 6: Final answer
    x = 440.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.