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Finding the Fourth Proportional to 198.88, 274.48 and 121.30

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Solution

The fourth proportional to 198.88, 274.48 and 121.30 is: 167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.88 : 274.48 = 121.30 : x
  2. Step 2: Convert to fraction form
    198.88/274.48 = 121.30/x
  3. Step 3: Cross multiply
    198.88x = 274.48 × 121.30
  4. Step 4: Simplify right side
    198.88x = 33,293.05
  5. Step 5: Solve for x
    x = 33,293.05/198.88
  6. Step 6: Final answer
    x = 167.41

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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.