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Finding the Fourth Proportional to 167.29, 249.75 and 141.43

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Solution

The fourth proportional to 167.29, 249.75 and 141.43 is: 211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.29 : 249.75 = 141.43 : x
  2. Step 2: Convert to fraction form
    167.29/249.75 = 141.43/x
  3. Step 3: Cross multiply
    167.29x = 249.75 × 141.43
  4. Step 4: Simplify right side
    167.29x = 35,322.14
  5. Step 5: Solve for x
    x = 35,322.14/167.29
  6. Step 6: Final answer
    x = 211.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.