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Finding the Fourth Proportional to 201.92, 276.40 and 195.36

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Solution

The fourth proportional to 201.92, 276.40 and 195.36 is: 267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.92 : 276.40 = 195.36 : x
  2. Step 2: Convert to fraction form
    201.92/276.40 = 195.36/x
  3. Step 3: Cross multiply
    201.92x = 276.40 × 195.36
  4. Step 4: Simplify right side
    201.92x = 53,997.50
  5. Step 5: Solve for x
    x = 53,997.50/201.92
  6. Step 6: Final answer
    x = 267.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.