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Finding the Fourth Proportional to 199.26, 274.84 and 121.64

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Solution

The fourth proportional to 199.26, 274.84 and 121.64 is: 167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.26 : 274.84 = 121.64 : x
  2. Step 2: Convert to fraction form
    199.26/274.84 = 121.64/x
  3. Step 3: Cross multiply
    199.26x = 274.84 × 121.64
  4. Step 4: Simplify right side
    199.26x = 33,431.54
  5. Step 5: Solve for x
    x = 33,431.54/199.26
  6. Step 6: Final answer
    x = 167.78

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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.