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Finding the Fourth Proportional to 136.28, 205.61 and 129.53

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Solution

The fourth proportional to 136.28, 205.61 and 129.53 is: 195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.28 : 205.61 = 129.53 : x
  2. Step 2: Convert to fraction form
    136.28/205.61 = 129.53/x
  3. Step 3: Cross multiply
    136.28x = 205.61 × 129.53
  4. Step 4: Simplify right side
    136.28x = 26,632.66
  5. Step 5: Solve for x
    x = 26,632.66/136.28
  6. Step 6: Final answer
    x = 195.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.