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Finding the Fourth Proportional to 274.20, 409.74 and 196.80

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Solution

The fourth proportional to 274.20, 409.74 and 196.80 is: 294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.20 : 409.74 = 196.80 : x
  2. Step 2: Convert to fraction form
    274.20/409.74 = 196.80/x
  3. Step 3: Cross multiply
    274.20x = 409.74 × 196.80
  4. Step 4: Simplify right side
    274.20x = 80,636.83
  5. Step 5: Solve for x
    x = 80,636.83/274.20
  6. Step 6: Final answer
    x = 294.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.