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Finding the Fourth Proportional to 274.54, 378.61 and 204.77

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Solution

The fourth proportional to 274.54, 378.61 and 204.77 is: 282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.54 : 378.61 = 204.77 : x
  2. Step 2: Convert to fraction form
    274.54/378.61 = 204.77/x
  3. Step 3: Cross multiply
    274.54x = 378.61 × 204.77
  4. Step 4: Simplify right side
    274.54x = 77,525.05
  5. Step 5: Solve for x
    x = 77,525.05/274.54
  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.