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Finding the Fourth Proportional to 166.82, 251.69 and 159.26

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Solution

The fourth proportional to 166.82, 251.69 and 159.26 is: 240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.82 : 251.69 = 159.26 : x
  2. Step 2: Convert to fraction form
    166.82/251.69 = 159.26/x
  3. Step 3: Cross multiply
    166.82x = 251.69 × 159.26
  4. Step 4: Simplify right side
    166.82x = 40,082.09
  5. Step 5: Solve for x
    x = 40,082.09/166.82
  6. Step 6: Final answer
    x = 240.28

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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.