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Finding the Fourth Proportional to 133.24, 198.88 and 121.20

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Solution

The fourth proportional to 133.24, 198.88 and 121.20 is: 180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.24 : 198.88 = 121.20 : x
  2. Step 2: Convert to fraction form
    133.24/198.88 = 121.20/x
  3. Step 3: Cross multiply
    133.24x = 198.88 × 121.20
  4. Step 4: Simplify right side
    133.24x = 24,104.26
  5. Step 5: Solve for x
    x = 24,104.26/133.24
  6. Step 6: Final answer
    x = 180.91

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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.