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Finding the Fourth Proportional to 146.18, 200.66 and 129.44

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Solution

The fourth proportional to 146.18, 200.66 and 129.44 is: 177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.18 : 200.66 = 129.44 : x
  2. Step 2: Convert to fraction form
    146.18/200.66 = 129.44/x
  3. Step 3: Cross multiply
    146.18x = 200.66 × 129.44
  4. Step 4: Simplify right side
    146.18x = 25,973.43
  5. Step 5: Solve for x
    x = 25,973.43/146.18
  6. Step 6: Final answer
    x = 177.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.