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Finding the Fourth Proportional to 322.38, 481.28 and 283.23

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Solution

The fourth proportional to 322.38, 481.28 and 283.23 is: 422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 481.28 = 283.23 : x
  2. Step 2: Convert to fraction form
    322.38/481.28 = 283.23/x
  3. Step 3: Cross multiply
    322.38x = 481.28 × 283.23
  4. Step 4: Simplify right side
    322.38x = 136,311.52
  5. Step 5: Solve for x
    x = 136,311.52/322.38
  6. Step 6: Final answer
    x = 422.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.