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Finding the Fourth Proportional to 422.11, 582.55 and 256.37

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Solution

The fourth proportional to 422.11, 582.55 and 256.37 is: 353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.11 : 582.55 = 256.37 : x
  2. Step 2: Convert to fraction form
    422.11/582.55 = 256.37/x
  3. Step 3: Cross multiply
    422.11x = 582.55 × 256.37
  4. Step 4: Simplify right side
    422.11x = 149,348.34
  5. Step 5: Solve for x
    x = 149,348.34/422.11
  6. Step 6: Final answer
    x = 353.81

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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.