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Finding the Fourth Proportional to 146.67, 219.03 and 129.18

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Solution

The fourth proportional to 146.67, 219.03 and 129.18 is: 192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.67 : 219.03 = 129.18 : x
  2. Step 2: Convert to fraction form
    146.67/219.03 = 129.18/x
  3. Step 3: Cross multiply
    146.67x = 219.03 × 129.18
  4. Step 4: Simplify right side
    146.67x = 28,294.30
  5. Step 5: Solve for x
    x = 28,294.30/146.67
  6. Step 6: Final answer
    x = 192.91

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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.