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Finding the Fourth Proportional to 167.82, 231.34 and 121.30

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Solution

The fourth proportional to 167.82, 231.34 and 121.30 is: 167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.82 : 231.34 = 121.30 : x
  2. Step 2: Convert to fraction form
    167.82/231.34 = 121.30/x
  3. Step 3: Cross multiply
    167.82x = 231.34 × 121.30
  4. Step 4: Simplify right side
    167.82x = 28,061.54
  5. Step 5: Solve for x
    x = 28,061.54/167.82
  6. Step 6: Final answer
    x = 167.21

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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.