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Finding the Fourth Proportional to 146.85, 219.26 and 132.27

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Solution

The fourth proportional to 146.85, 219.26 and 132.27 is: 197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.85 : 219.26 = 132.27 : x
  2. Step 2: Convert to fraction form
    146.85/219.26 = 132.27/x
  3. Step 3: Cross multiply
    146.85x = 219.26 × 132.27
  4. Step 4: Simplify right side
    146.85x = 29,002.01
  5. Step 5: Solve for x
    x = 29,002.01/146.85
  6. Step 6: Final answer
    x = 197.49

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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.