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Finding the Fourth Proportional to 198.10, 274.83 and 181.90

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Solution

The fourth proportional to 198.10, 274.83 and 181.90 is: 252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.10 : 274.83 = 181.90 : x
  2. Step 2: Convert to fraction form
    198.10/274.83 = 181.90/x
  3. Step 3: Cross multiply
    198.10x = 274.83 × 181.90
  4. Step 4: Simplify right side
    198.10x = 49,991.58
  5. Step 5: Solve for x
    x = 49,991.58/198.10
  6. Step 6: Final answer
    x = 252.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.