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Finding the Fourth Proportional to 198.67, 274.17 and 111.34

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Solution

The fourth proportional to 198.67, 274.17 and 111.34 is: 153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.67 : 274.17 = 111.34 : x
  2. Step 2: Convert to fraction form
    198.67/274.17 = 111.34/x
  3. Step 3: Cross multiply
    198.67x = 274.17 × 111.34
  4. Step 4: Simplify right side
    198.67x = 30,526.09
  5. Step 5: Solve for x
    x = 30,526.09/198.67
  6. Step 6: Final answer
    x = 153.65

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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.