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Finding the Fourth Proportional to 422.80, 631.75 and 323.42

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Solution

The fourth proportional to 422.80, 631.75 and 323.42 is: 483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.80 : 631.75 = 323.42 : x
  2. Step 2: Convert to fraction form
    422.80/631.75 = 323.42/x
  3. Step 3: Cross multiply
    422.80x = 631.75 × 323.42
  4. Step 4: Simplify right side
    422.80x = 204,318.97
  5. Step 5: Solve for x
    x = 204,318.97/422.80
  6. Step 6: Final answer
    x = 483.25

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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.