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Finding the Fourth Proportional to 167.71, 252.49 and 131.34

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Solution

The fourth proportional to 167.71, 252.49 and 131.34 is: 197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.71 : 252.49 = 131.34 : x
  2. Step 2: Convert to fraction form
    167.71/252.49 = 131.34/x
  3. Step 3: Cross multiply
    167.71x = 252.49 × 131.34
  4. Step 4: Simplify right side
    167.71x = 33,162.04
  5. Step 5: Solve for x
    x = 33,162.04/167.71
  6. Step 6: Final answer
    x = 197.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.