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Finding the Fourth Proportional to 132.22, 181.39 and 126.15

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Solution

The fourth proportional to 132.22, 181.39 and 126.15 is: 173.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.22 : 181.39 = 126.15 : x
  2. Step 2: Convert to fraction form
    132.22/181.39 = 126.15/x
  3. Step 3: Cross multiply
    132.22x = 181.39 × 126.15
  4. Step 4: Simplify right side
    132.22x = 22,882.35
  5. Step 5: Solve for x
    x = 22,882.35/132.22
  6. Step 6: Final answer
    x = 173.06

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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.