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Finding the Fourth Proportional to 167.30, 231.11 and 159.20

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Solution

The fourth proportional to 167.30, 231.11 and 159.20 is: 219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.30 : 231.11 = 159.20 : x
  2. Step 2: Convert to fraction form
    167.30/231.11 = 159.20/x
  3. Step 3: Cross multiply
    167.30x = 231.11 × 159.20
  4. Step 4: Simplify right side
    167.30x = 36,790.76
  5. Step 5: Solve for x
    x = 36,790.76/167.30
  6. Step 6: Final answer
    x = 219.92

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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.