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Finding the Fourth Proportional to 167.93, 231.41 and 121.22

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Solution

The fourth proportional to 167.93, 231.41 and 121.22 is: 167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.93 : 231.41 = 121.22 : x
  2. Step 2: Convert to fraction form
    167.93/231.41 = 121.22/x
  3. Step 3: Cross multiply
    167.93x = 231.41 × 121.22
  4. Step 4: Simplify right side
    167.93x = 28,049.76
  5. Step 5: Solve for x
    x = 28,049.76/167.93
  6. Step 6: Final answer
    x = 167.04

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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.