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Finding the Fourth Proportional to 275.31, 379.83 and 196.56

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Solution

The fourth proportional to 275.31, 379.83 and 196.56 is: 271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.31 : 379.83 = 196.56 : x
  2. Step 2: Convert to fraction form
    275.31/379.83 = 196.56/x
  3. Step 3: Cross multiply
    275.31x = 379.83 × 196.56
  4. Step 4: Simplify right side
    275.31x = 74,659.38
  5. Step 5: Solve for x
    x = 74,659.38/275.31
  6. Step 6: Final answer
    x = 271.18

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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.