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Finding the Fourth Proportional to 126.16, 188.15 and 119.80

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Solution

The fourth proportional to 126.16, 188.15 and 119.80 is: 178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.16 : 188.15 = 119.80 : x
  2. Step 2: Convert to fraction form
    126.16/188.15 = 119.80/x
  3. Step 3: Cross multiply
    126.16x = 188.15 × 119.80
  4. Step 4: Simplify right side
    126.16x = 22,540.37
  5. Step 5: Solve for x
    x = 22,540.37/126.16
  6. Step 6: Final answer
    x = 178.66

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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.