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Finding the Fourth Proportional to 126.63, 190.86 and 118.28

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Solution

The fourth proportional to 126.63, 190.86 and 118.28 is: 178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.63 : 190.86 = 118.28 : x
  2. Step 2: Convert to fraction form
    126.63/190.86 = 118.28/x
  3. Step 3: Cross multiply
    126.63x = 190.86 × 118.28
  4. Step 4: Simplify right side
    126.63x = 22,573.97
  5. Step 5: Solve for x
    x = 22,573.97/126.63
  6. Step 6: Final answer
    x = 178.27

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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.