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Finding the Fourth Proportional to 322.43, 444.78 and 204.20

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Solution

The fourth proportional to 322.43, 444.78 and 204.20 is: 281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.43 : 444.78 = 204.20 : x
  2. Step 2: Convert to fraction form
    322.43/444.78 = 204.20/x
  3. Step 3: Cross multiply
    322.43x = 444.78 × 204.20
  4. Step 4: Simplify right side
    322.43x = 90,824.08
  5. Step 5: Solve for x
    x = 90,824.08/322.43
  6. Step 6: Final answer
    x = 281.69

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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.