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Finding the Fourth Proportional to 198.49, 274.04 and 151.78

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Solution

The fourth proportional to 198.49, 274.04 and 151.78 is: 209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.49 : 274.04 = 151.78 : x
  2. Step 2: Convert to fraction form
    198.49/274.04 = 151.78/x
  3. Step 3: Cross multiply
    198.49x = 274.04 × 151.78
  4. Step 4: Simplify right side
    198.49x = 41,593.79
  5. Step 5: Solve for x
    x = 41,593.79/198.49
  6. Step 6: Final answer
    x = 209.55

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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.