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Finding the Fourth Proportional to 133.21, 198.32 and 129.43

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Solution

The fourth proportional to 133.21, 198.32 and 129.43 is: 192.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.21 : 198.32 = 129.43 : x
  2. Step 2: Convert to fraction form
    133.21/198.32 = 129.43/x
  3. Step 3: Cross multiply
    133.21x = 198.32 × 129.43
  4. Step 4: Simplify right side
    133.21x = 25,668.56
  5. Step 5: Solve for x
    x = 25,668.56/133.21
  6. Step 6: Final answer
    x = 192.69

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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.