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Finding the Fourth Proportional to 126.40, 190.45 and 116.56

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Solution

The fourth proportional to 126.40, 190.45 and 116.56 is: 175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.40 : 190.45 = 116.56 : x
  2. Step 2: Convert to fraction form
    126.40/190.45 = 116.56/x
  3. Step 3: Cross multiply
    126.40x = 190.45 × 116.56
  4. Step 4: Simplify right side
    126.40x = 22,198.85
  5. Step 5: Solve for x
    x = 22,198.85/126.40
  6. Step 6: Final answer
    x = 175.62

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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.