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Finding the Fourth Proportional to 297.45, 408.21 and 269.75

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Solution

The fourth proportional to 297.45, 408.21 and 269.75 is: 370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.45 : 408.21 = 269.75 : x
  2. Step 2: Convert to fraction form
    297.45/408.21 = 269.75/x
  3. Step 3: Cross multiply
    297.45x = 408.21 × 269.75
  4. Step 4: Simplify right side
    297.45x = 110,112.61
  5. Step 5: Solve for x
    x = 110,112.61/297.45
  6. Step 6: Final answer
    x = 370.19

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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.