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Finding the Fourth Proportional to 133.70, 185.61 and 129.95

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Solution

The fourth proportional to 133.70, 185.61 and 129.95 is: 180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.70 : 185.61 = 129.95 : x
  2. Step 2: Convert to fraction form
    133.70/185.61 = 129.95/x
  3. Step 3: Cross multiply
    133.70x = 185.61 × 129.95
  4. Step 4: Simplify right side
    133.70x = 24,119.09
  5. Step 5: Solve for x
    x = 24,119.09/133.70
  6. Step 6: Final answer
    x = 180.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.