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Finding the Fourth Proportional to 198.91, 274.32 and 154.15

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Solution

The fourth proportional to 198.91, 274.32 and 154.15 is: 212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.91 : 274.32 = 154.15 : x
  2. Step 2: Convert to fraction form
    198.91/274.32 = 154.15/x
  3. Step 3: Cross multiply
    198.91x = 274.32 × 154.15
  4. Step 4: Simplify right side
    198.91x = 42,286.43
  5. Step 5: Solve for x
    x = 42,286.43/198.91
  6. Step 6: Final answer
    x = 212.59

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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.