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Finding the Fourth Proportional to 198.85, 274.41 and 115.90

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Solution

The fourth proportional to 198.85, 274.41 and 115.90 is: 159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.85 : 274.41 = 115.90 : x
  2. Step 2: Convert to fraction form
    198.85/274.41 = 115.90/x
  3. Step 3: Cross multiply
    198.85x = 274.41 × 115.90
  4. Step 4: Simplify right side
    198.85x = 31,804.12
  5. Step 5: Solve for x
    x = 31,804.12/198.85
  6. Step 6: Final answer
    x = 159.94

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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.