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Finding the Fourth Proportional to 132.67, 181.97 and 126.37

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Solution

The fourth proportional to 132.67, 181.97 and 126.37 is: 173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.67 : 181.97 = 126.37 : x
  2. Step 2: Convert to fraction form
    132.67/181.97 = 126.37/x
  3. Step 3: Cross multiply
    132.67x = 181.97 × 126.37
  4. Step 4: Simplify right side
    132.67x = 22,995.55
  5. Step 5: Solve for x
    x = 22,995.55/132.67
  6. Step 6: Final answer
    x = 173.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.