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Finding the Fourth Proportional to 297.27, 408.44 and 278.31

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Solution

The fourth proportional to 297.27, 408.44 and 278.31 is: 382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.27 : 408.44 = 278.31 : x
  2. Step 2: Convert to fraction form
    297.27/408.44 = 278.31/x
  3. Step 3: Cross multiply
    297.27x = 408.44 × 278.31
  4. Step 4: Simplify right side
    297.27x = 113,672.94
  5. Step 5: Solve for x
    x = 113,672.94/297.27
  6. Step 6: Final answer
    x = 382.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.