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Finding the Fourth Proportional to 126.99, 189.49 and 119.25

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Solution

The fourth proportional to 126.99, 189.49 and 119.25 is: 177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.99 : 189.49 = 119.25 : x
  2. Step 2: Convert to fraction form
    126.99/189.49 = 119.25/x
  3. Step 3: Cross multiply
    126.99x = 189.49 × 119.25
  4. Step 4: Simplify right side
    126.99x = 22,596.09
  5. Step 5: Solve for x
    x = 22,596.09/126.99
  6. Step 6: Final answer
    x = 177.94

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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.