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Finding the Fourth Proportional to 422.01, 582.39 and 232.96

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Solution

The fourth proportional to 422.01, 582.39 and 232.96 is: 321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.01 : 582.39 = 232.96 : x
  2. Step 2: Convert to fraction form
    422.01/582.39 = 232.96/x
  3. Step 3: Cross multiply
    422.01x = 582.39 × 232.96
  4. Step 4: Simplify right side
    422.01x = 135,672.41
  5. Step 5: Solve for x
    x = 135,672.41/422.01
  6. Step 6: Final answer
    x = 321.49

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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.