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Finding the Fourth Proportional to 126.44, 188.88 and 108.22

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Solution

The fourth proportional to 126.44, 188.88 and 108.22 is: 161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.44 : 188.88 = 108.22 : x
  2. Step 2: Convert to fraction form
    126.44/188.88 = 108.22/x
  3. Step 3: Cross multiply
    126.44x = 188.88 × 108.22
  4. Step 4: Simplify right side
    126.44x = 20,440.59
  5. Step 5: Solve for x
    x = 20,440.59/126.44
  6. Step 6: Final answer
    x = 161.66

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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.