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Finding the Fourth Proportional to 166.82, 251.22 and 126.52

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Solution

The fourth proportional to 166.82, 251.22 and 126.52 is: 190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.82 : 251.22 = 126.52 : x
  2. Step 2: Convert to fraction form
    166.82/251.22 = 126.52/x
  3. Step 3: Cross multiply
    166.82x = 251.22 × 126.52
  4. Step 4: Simplify right side
    166.82x = 31,784.20
  5. Step 5: Solve for x
    x = 31,784.20/166.82
  6. Step 6: Final answer
    x = 190.54

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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.