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Finding the Fourth Proportional to 422.72, 634.26 and 179.42

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Solution

The fourth proportional to 422.72, 634.26 and 179.42 is: 269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.72 : 634.26 = 179.42 : x
  2. Step 2: Convert to fraction form
    422.72/634.26 = 179.42/x
  3. Step 3: Cross multiply
    422.72x = 634.26 × 179.42
  4. Step 4: Simplify right side
    422.72x = 113,798.93
  5. Step 5: Solve for x
    x = 113,798.93/422.72
  6. Step 6: Final answer
    x = 269.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.