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Finding the Fourth Proportional to 275.37, 379.38 and 196.53

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Solution

The fourth proportional to 275.37, 379.38 and 196.53 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.37 : 379.38 = 196.53 : x
  2. Step 2: Convert to fraction form
    275.37/379.38 = 196.53/x
  3. Step 3: Cross multiply
    275.37x = 379.38 × 196.53
  4. Step 4: Simplify right side
    275.37x = 74,559.55
  5. Step 5: Solve for x
    x = 74,559.55/275.37
  6. Step 6: Final answer
    x = 270.76

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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.