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Finding the Fourth Proportional to 274.89, 379.06 and 191.97

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Solution

The fourth proportional to 274.89, 379.06 and 191.97 is: 264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.89 : 379.06 = 191.97 : x
  2. Step 2: Convert to fraction form
    274.89/379.06 = 191.97/x
  3. Step 3: Cross multiply
    274.89x = 379.06 × 191.97
  4. Step 4: Simplify right side
    274.89x = 72,766.25
  5. Step 5: Solve for x
    x = 72,766.25/274.89
  6. Step 6: Final answer
    x = 264.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.