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Finding the Fourth Proportional to 146.40, 218.66 and 132.96

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Solution

The fourth proportional to 146.40, 218.66 and 132.96 is: 198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.40 : 218.66 = 132.96 : x
  2. Step 2: Convert to fraction form
    146.40/218.66 = 132.96/x
  3. Step 3: Cross multiply
    146.40x = 218.66 × 132.96
  4. Step 4: Simplify right side
    146.40x = 29,073.03
  5. Step 5: Solve for x
    x = 29,073.03/146.40
  6. Step 6: Final answer
    x = 198.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.