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Finding the Fourth Proportional to 198.85, 274.49 and 133.39

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Solution

The fourth proportional to 198.85, 274.49 and 133.39 is: 184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.85 : 274.49 = 133.39 : x
  2. Step 2: Convert to fraction form
    198.85/274.49 = 133.39/x
  3. Step 3: Cross multiply
    198.85x = 274.49 × 133.39
  4. Step 4: Simplify right side
    198.85x = 36,612.87
  5. Step 5: Solve for x
    x = 36,612.87/198.85
  6. Step 6: Final answer
    x = 184.13

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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.