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Finding the Fourth Proportional to 274.50, 378.68 and 200.92

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Solution

The fourth proportional to 274.50, 378.68 and 200.92 is: 277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.50 : 378.68 = 200.92 : x
  2. Step 2: Convert to fraction form
    274.50/378.68 = 200.92/x
  3. Step 3: Cross multiply
    274.50x = 378.68 × 200.92
  4. Step 4: Simplify right side
    274.50x = 76,084.39
  5. Step 5: Solve for x
    x = 76,084.39/274.50
  6. Step 6: Final answer
    x = 277.17

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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.