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Finding the Fourth Proportional to 201.72, 276.46 and 195.54

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Solution

The fourth proportional to 201.72, 276.46 and 195.54 is: 267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.72 : 276.46 = 195.54 : x
  2. Step 2: Convert to fraction form
    201.72/276.46 = 195.54/x
  3. Step 3: Cross multiply
    201.72x = 276.46 × 195.54
  4. Step 4: Simplify right side
    201.72x = 54,058.99
  5. Step 5: Solve for x
    x = 54,058.99/201.72
  6. Step 6: Final answer
    x = 267.99

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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.