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Finding the Fourth Proportional to 422.76, 634.05 and 162.75

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Solution

The fourth proportional to 422.76, 634.05 and 162.75 is: 244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.76 : 634.05 = 162.75 : x
  2. Step 2: Convert to fraction form
    422.76/634.05 = 162.75/x
  3. Step 3: Cross multiply
    422.76x = 634.05 × 162.75
  4. Step 4: Simplify right side
    422.76x = 103,191.64
  5. Step 5: Solve for x
    x = 103,191.64/422.76
  6. Step 6: Final answer
    x = 244.09

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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.