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Finding the Fourth Proportional to 168.09, 231.91 and 109.86

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Solution

The fourth proportional to 168.09, 231.91 and 109.86 is: 151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.09 : 231.91 = 109.86 : x
  2. Step 2: Convert to fraction form
    168.09/231.91 = 109.86/x
  3. Step 3: Cross multiply
    168.09x = 231.91 × 109.86
  4. Step 4: Simplify right side
    168.09x = 25,477.63
  5. Step 5: Solve for x
    x = 25,477.63/168.09
  6. Step 6: Final answer
    x = 151.57

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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.