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Finding the Fourth Proportional to 146.68, 219.61 and 133.72

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Solution

The fourth proportional to 146.68, 219.61 and 133.72 is: 200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.68 : 219.61 = 133.72 : x
  2. Step 2: Convert to fraction form
    146.68/219.61 = 133.72/x
  3. Step 3: Cross multiply
    146.68x = 219.61 × 133.72
  4. Step 4: Simplify right side
    146.68x = 29,366.25
  5. Step 5: Solve for x
    x = 29,366.25/146.68
  6. Step 6: Final answer
    x = 200.21

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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.