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Finding the Fourth Proportional to 126.38, 188.43 and 119.49

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Solution

The fourth proportional to 126.38, 188.43 and 119.49 is: 178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.38 : 188.43 = 119.49 : x
  2. Step 2: Convert to fraction form
    126.38/188.43 = 119.49/x
  3. Step 3: Cross multiply
    126.38x = 188.43 × 119.49
  4. Step 4: Simplify right side
    126.38x = 22,515.50
  5. Step 5: Solve for x
    x = 22,515.50/126.38
  6. Step 6: Final answer
    x = 178.16

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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.