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Finding the Fourth Proportional to 297.86, 408.43 and 287.56

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Solution

The fourth proportional to 297.86, 408.43 and 287.56 is: 394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.86 : 408.43 = 287.56 : x
  2. Step 2: Convert to fraction form
    297.86/408.43 = 287.56/x
  3. Step 3: Cross multiply
    297.86x = 408.43 × 287.56
  4. Step 4: Simplify right side
    297.86x = 117,448.13
  5. Step 5: Solve for x
    x = 117,448.13/297.86
  6. Step 6: Final answer
    x = 394.31

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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.