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Finding the Fourth Proportional to 201.88, 276.78 and 198.23

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Solution

The fourth proportional to 201.88, 276.78 and 198.23 is: 271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.88 : 276.78 = 198.23 : x
  2. Step 2: Convert to fraction form
    201.88/276.78 = 198.23/x
  3. Step 3: Cross multiply
    201.88x = 276.78 × 198.23
  4. Step 4: Simplify right side
    201.88x = 54,866.79
  5. Step 5: Solve for x
    x = 54,866.79/201.88
  6. Step 6: Final answer
    x = 271.78

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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.