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Finding the Fourth Proportional to 136.22, 203.72 and 129.94

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Solution

The fourth proportional to 136.22, 203.72 and 129.94 is: 194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.22 : 203.72 = 129.94 : x
  2. Step 2: Convert to fraction form
    136.22/203.72 = 129.94/x
  3. Step 3: Cross multiply
    136.22x = 203.72 × 129.94
  4. Step 4: Simplify right side
    136.22x = 26,470.22
  5. Step 5: Solve for x
    x = 26,470.22/136.22
  6. Step 6: Final answer
    x = 194.33

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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.