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Finding the Fourth Proportional to 168.36, 231.33 and 133.80

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Solution

The fourth proportional to 168.36, 231.33 and 133.80 is: 183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.36 : 231.33 = 133.80 : x
  2. Step 2: Convert to fraction form
    168.36/231.33 = 133.80/x
  3. Step 3: Cross multiply
    168.36x = 231.33 × 133.80
  4. Step 4: Simplify right side
    168.36x = 30,951.95
  5. Step 5: Solve for x
    x = 30,951.95/168.36
  6. Step 6: Final answer
    x = 183.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.