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Finding the Fourth Proportional to 198.59, 274.19 and 133.28

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Solution

The fourth proportional to 198.59, 274.19 and 133.28 is: 184.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.59 : 274.19 = 133.28 : x
  2. Step 2: Convert to fraction form
    198.59/274.19 = 133.28/x
  3. Step 3: Cross multiply
    198.59x = 274.19 × 133.28
  4. Step 4: Simplify right side
    198.59x = 36,543.03
  5. Step 5: Solve for x
    x = 36,543.03/198.59
  6. Step 6: Final answer
    x = 184.02

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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.