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Finding the Fourth Proportional to 167.96, 231.76 and 109.80

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Solution

The fourth proportional to 167.96, 231.76 and 109.80 is: 151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.96 : 231.76 = 109.80 : x
  2. Step 2: Convert to fraction form
    167.96/231.76 = 109.80/x
  3. Step 3: Cross multiply
    167.96x = 231.76 × 109.80
  4. Step 4: Simplify right side
    167.96x = 25,447.25
  5. Step 5: Solve for x
    x = 25,447.25/167.96
  6. Step 6: Final answer
    x = 151.51

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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.