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Finding the Fourth Proportional to 322.39, 443.88 and 284.49

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Solution

The fourth proportional to 322.39, 443.88 and 284.49 is: 391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.39 : 443.88 = 284.49 : x
  2. Step 2: Convert to fraction form
    322.39/443.88 = 284.49/x
  3. Step 3: Cross multiply
    322.39x = 443.88 × 284.49
  4. Step 4: Simplify right side
    322.39x = 126,279.42
  5. Step 5: Solve for x
    x = 126,279.42/322.39
  6. Step 6: Final answer
    x = 391.70

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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.