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Finding the Fourth Proportional to 146.80, 220.06 and 129.59

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Solution

The fourth proportional to 146.80, 220.06 and 129.59 is: 194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.80 : 220.06 = 129.59 : x
  2. Step 2: Convert to fraction form
    146.80/220.06 = 129.59/x
  3. Step 3: Cross multiply
    146.80x = 220.06 × 129.59
  4. Step 4: Simplify right side
    146.80x = 28,517.58
  5. Step 5: Solve for x
    x = 28,517.58/146.80
  6. Step 6: Final answer
    x = 194.26

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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.