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Finding the Fourth Proportional to 126.90, 191.16 and 120.96

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Solution

The fourth proportional to 126.90, 191.16 and 120.96 is: 182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.90 : 191.16 = 120.96 : x
  2. Step 2: Convert to fraction form
    126.90/191.16 = 120.96/x
  3. Step 3: Cross multiply
    126.90x = 191.16 × 120.96
  4. Step 4: Simplify right side
    126.90x = 23,122.71
  5. Step 5: Solve for x
    x = 23,122.71/126.90
  6. Step 6: Final answer
    x = 182.21

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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.