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Finding the Fourth Proportional to 133.46, 198.93 and 129.80

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Solution

The fourth proportional to 133.46, 198.93 and 129.80 is: 193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.46 : 198.93 = 129.80 : x
  2. Step 2: Convert to fraction form
    133.46/198.93 = 129.80/x
  3. Step 3: Cross multiply
    133.46x = 198.93 × 129.80
  4. Step 4: Simplify right side
    133.46x = 25,820.47
  5. Step 5: Solve for x
    x = 25,820.47/133.46
  6. Step 6: Final answer
    x = 193.47

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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.