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Finding the Fourth Proportional to 198.19, 274.72 and 189.37

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Solution

The fourth proportional to 198.19, 274.72 and 189.37 is: 262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.19 : 274.72 = 189.37 : x
  2. Step 2: Convert to fraction form
    198.19/274.72 = 189.37/x
  3. Step 3: Cross multiply
    198.19x = 274.72 × 189.37
  4. Step 4: Simplify right side
    198.19x = 52,023.73
  5. Step 5: Solve for x
    x = 52,023.73/198.19
  6. Step 6: Final answer
    x = 262.49

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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.