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Finding the Fourth Proportional to 132.08, 196.94 and 126.44

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Solution

The fourth proportional to 132.08, 196.94 and 126.44 is: 188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.08 : 196.94 = 126.44 : x
  2. Step 2: Convert to fraction form
    132.08/196.94 = 126.44/x
  3. Step 3: Cross multiply
    132.08x = 196.94 × 126.44
  4. Step 4: Simplify right side
    132.08x = 24,899.48
  5. Step 5: Solve for x
    x = 24,899.48/132.08
  6. Step 6: Final answer
    x = 188.53

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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.