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Finding the Fourth Proportional to 274.86, 379.36 and 205.27

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Solution

The fourth proportional to 274.86, 379.36 and 205.27 is: 283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 379.36 = 205.27 : x
  2. Step 2: Convert to fraction form
    274.86/379.36 = 205.27/x
  3. Step 3: Cross multiply
    274.86x = 379.36 × 205.27
  4. Step 4: Simplify right side
    274.86x = 77,871.96
  5. Step 5: Solve for x
    x = 77,871.96/274.86
  6. Step 6: Final answer
    x = 283.31

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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.