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Finding the Fourth Proportional to 422.20, 582.67 and 256.42

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Solution

The fourth proportional to 422.20, 582.67 and 256.42 is: 353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.20 : 582.67 = 256.42 : x
  2. Step 2: Convert to fraction form
    422.20/582.67 = 256.42/x
  3. Step 3: Cross multiply
    422.20x = 582.67 × 256.42
  4. Step 4: Simplify right side
    422.20x = 149,408.24
  5. Step 5: Solve for x
    x = 149,408.24/422.20
  6. Step 6: Final answer
    x = 353.88

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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.