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Finding the Fourth Proportional to 321.97, 444.17 and 203.91

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Solution

The fourth proportional to 321.97, 444.17 and 203.91 is: 281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.97 : 444.17 = 203.91 : x
  2. Step 2: Convert to fraction form
    321.97/444.17 = 203.91/x
  3. Step 3: Cross multiply
    321.97x = 444.17 × 203.91
  4. Step 4: Simplify right side
    321.97x = 90,569.69
  5. Step 5: Solve for x
    x = 90,569.69/321.97
  6. Step 6: Final answer
    x = 281.30

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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.