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Finding the Fourth Proportional to 167.65, 252.82 and 166.57

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Solution

The fourth proportional to 167.65, 252.82 and 166.57 is: 251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.65 : 252.82 = 166.57 : x
  2. Step 2: Convert to fraction form
    167.65/252.82 = 166.57/x
  3. Step 3: Cross multiply
    167.65x = 252.82 × 166.57
  4. Step 4: Simplify right side
    167.65x = 42,112.23
  5. Step 5: Solve for x
    x = 42,112.23/167.65
  6. Step 6: Final answer
    x = 251.19

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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.