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Finding the Fourth Proportional to 126.26, 188.66 and 96.80

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Solution

The fourth proportional to 126.26, 188.66 and 96.80 is: 144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.26 : 188.66 = 96.80 : x
  2. Step 2: Convert to fraction form
    126.26/188.66 = 96.80/x
  3. Step 3: Cross multiply
    126.26x = 188.66 × 96.80
  4. Step 4: Simplify right side
    126.26x = 18,262.29
  5. Step 5: Solve for x
    x = 18,262.29/126.26
  6. Step 6: Final answer
    x = 144.64

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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.