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Finding the Fourth Proportional to 422.76, 634.01 and 130.23

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Solution

The fourth proportional to 422.76, 634.01 and 130.23 is: 195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.76 : 634.01 = 130.23 : x
  2. Step 2: Convert to fraction form
    422.76/634.01 = 130.23/x
  3. Step 3: Cross multiply
    422.76x = 634.01 × 130.23
  4. Step 4: Simplify right side
    422.76x = 82,566.47
  5. Step 5: Solve for x
    x = 82,566.47/422.76
  6. Step 6: Final answer
    x = 195.30

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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.