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Finding the Fourth Proportional to 248.12, 371.97 and 119.78

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Solution

The fourth proportional to 248.12, 371.97 and 119.78 is: 179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.12 : 371.97 = 119.78 : x
  2. Step 2: Convert to fraction form
    248.12/371.97 = 119.78/x
  3. Step 3: Cross multiply
    248.12x = 371.97 × 119.78
  4. Step 4: Simplify right side
    248.12x = 44,554.57
  5. Step 5: Solve for x
    x = 44,554.57/248.12
  6. Step 6: Final answer
    x = 179.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.