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Finding the Fourth Proportional to 198.65, 274.14 and 115.77

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Solution

The fourth proportional to 198.65, 274.14 and 115.77 is: 159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.65 : 274.14 = 115.77 : x
  2. Step 2: Convert to fraction form
    198.65/274.14 = 115.77/x
  3. Step 3: Cross multiply
    198.65x = 274.14 × 115.77
  4. Step 4: Simplify right side
    198.65x = 31,737.19
  5. Step 5: Solve for x
    x = 31,737.19/198.65
  6. Step 6: Final answer
    x = 159.76

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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.