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Finding the Fourth Proportional to 201.10, 276.92 and 196.55

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Solution

The fourth proportional to 201.10, 276.92 and 196.55 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.10 : 276.92 = 196.55 : x
  2. Step 2: Convert to fraction form
    201.10/276.92 = 196.55/x
  3. Step 3: Cross multiply
    201.10x = 276.92 × 196.55
  4. Step 4: Simplify right side
    201.10x = 54,427.64
  5. Step 5: Solve for x
    x = 54,427.64/201.10
  6. Step 6: Final answer
    x = 270.66

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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.