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Finding the Fourth Proportional to 126.46, 175.30 and 119.88

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Solution

The fourth proportional to 126.46, 175.30 and 119.88 is: 166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.46 : 175.30 = 119.88 : x
  2. Step 2: Convert to fraction form
    126.46/175.30 = 119.88/x
  3. Step 3: Cross multiply
    126.46x = 175.30 × 119.88
  4. Step 4: Simplify right side
    126.46x = 21,014.96
  5. Step 5: Solve for x
    x = 21,014.96/126.46
  6. Step 6: Final answer
    x = 166.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.