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Finding the Fourth Proportional to 422.67, 634.02 and 162.64

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Solution

The fourth proportional to 422.67, 634.02 and 162.64 is: 243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.67 : 634.02 = 162.64 : x
  2. Step 2: Convert to fraction form
    422.67/634.02 = 162.64/x
  3. Step 3: Cross multiply
    422.67x = 634.02 × 162.64
  4. Step 4: Simplify right side
    422.67x = 103,117.01
  5. Step 5: Solve for x
    x = 103,117.01/422.67
  6. Step 6: Final answer
    x = 243.97

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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.