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Finding the Fourth Proportional to 198.70, 274.11 and 127.78

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Solution

The fourth proportional to 198.70, 274.11 and 127.78 is: 176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.70 : 274.11 = 127.78 : x
  2. Step 2: Convert to fraction form
    198.70/274.11 = 127.78/x
  3. Step 3: Cross multiply
    198.70x = 274.11 × 127.78
  4. Step 4: Simplify right side
    198.70x = 35,025.78
  5. Step 5: Solve for x
    x = 35,025.78/198.70
  6. Step 6: Final answer
    x = 176.27

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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.