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Finding the Fourth Proportional to 168.26, 231.98 and 121.59

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Solution

The fourth proportional to 168.26, 231.98 and 121.59 is: 167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.26 : 231.98 = 121.59 : x
  2. Step 2: Convert to fraction form
    168.26/231.98 = 121.59/x
  3. Step 3: Cross multiply
    168.26x = 231.98 × 121.59
  4. Step 4: Simplify right side
    168.26x = 28,205.84
  5. Step 5: Solve for x
    x = 28,205.84/168.26
  6. Step 6: Final answer
    x = 167.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.