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Finding the Fourth Proportional to 126.36, 190.45 and 119.64

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Solution

The fourth proportional to 126.36, 190.45 and 119.64 is: 180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.36 : 190.45 = 119.64 : x
  2. Step 2: Convert to fraction form
    126.36/190.45 = 119.64/x
  3. Step 3: Cross multiply
    126.36x = 190.45 × 119.64
  4. Step 4: Simplify right side
    126.36x = 22,785.44
  5. Step 5: Solve for x
    x = 22,785.44/126.36
  6. Step 6: Final answer
    x = 180.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.