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Finding the Fourth Proportional to 274.80, 378.80 and 204.86

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Solution

The fourth proportional to 274.80, 378.80 and 204.86 is: 282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.80 : 378.80 = 204.86 : x
  2. Step 2: Convert to fraction form
    274.80/378.80 = 204.86/x
  3. Step 3: Cross multiply
    274.80x = 378.80 × 204.86
  4. Step 4: Simplify right side
    274.80x = 77,600.97
  5. Step 5: Solve for x
    x = 77,600.97/274.80
  6. Step 6: Final answer
    x = 282.39

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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.