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Finding the Fourth Proportional to 199.20, 274.74 and 121.50

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Solution

The fourth proportional to 199.20, 274.74 and 121.50 is: 167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.20 : 274.74 = 121.50 : x
  2. Step 2: Convert to fraction form
    199.20/274.74 = 121.50/x
  3. Step 3: Cross multiply
    199.20x = 274.74 × 121.50
  4. Step 4: Simplify right side
    199.20x = 33,380.91
  5. Step 5: Solve for x
    x = 33,380.91/199.20
  6. Step 6: Final answer
    x = 167.57

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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.