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Finding the Fourth Proportional to 198.30, 274.14 and 149.09

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Solution

The fourth proportional to 198.30, 274.14 and 149.09 is: 206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.30 : 274.14 = 149.09 : x
  2. Step 2: Convert to fraction form
    198.30/274.14 = 149.09/x
  3. Step 3: Cross multiply
    198.30x = 274.14 × 149.09
  4. Step 4: Simplify right side
    198.30x = 40,871.53
  5. Step 5: Solve for x
    x = 40,871.53/198.30
  6. Step 6: Final answer
    x = 206.11

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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.