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Finding the Fourth Proportional to 198.57, 274.00 and 115.66

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Solution

The fourth proportional to 198.57, 274.00 and 115.66 is: 159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.57 : 274.00 = 115.66 : x
  2. Step 2: Convert to fraction form
    198.57/274.00 = 115.66/x
  3. Step 3: Cross multiply
    198.57x = 274.00 × 115.66
  4. Step 4: Simplify right side
    198.57x = 31,690.44
  5. Step 5: Solve for x
    x = 31,690.44/198.57
  6. Step 6: Final answer
    x = 159.60

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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.