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Finding the Fourth Proportional to 422.06, 632.94 and 129.50

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Solution

The fourth proportional to 422.06, 632.94 and 129.50 is: 194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.06 : 632.94 = 129.50 : x
  2. Step 2: Convert to fraction form
    422.06/632.94 = 129.50/x
  3. Step 3: Cross multiply
    422.06x = 632.94 × 129.50
  4. Step 4: Simplify right side
    422.06x = 81,962.57
  5. Step 5: Solve for x
    x = 81,962.57/422.06
  6. Step 6: Final answer
    x = 194.20

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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.