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Finding the Fourth Proportional to 126.39, 188.40 and 119.55

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Solution

The fourth proportional to 126.39, 188.40 and 119.55 is: 178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.39 : 188.40 = 119.55 : x
  2. Step 2: Convert to fraction form
    126.39/188.40 = 119.55/x
  3. Step 3: Cross multiply
    126.39x = 188.40 × 119.55
  4. Step 4: Simplify right side
    126.39x = 22,523.22
  5. Step 5: Solve for x
    x = 22,523.22/126.39
  6. Step 6: Final answer
    x = 178.20

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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.