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Finding the Fourth Proportional to 297.61, 408.09 and 287.31

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Solution

The fourth proportional to 297.61, 408.09 and 287.31 is: 393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.61 : 408.09 = 287.31 : x
  2. Step 2: Convert to fraction form
    297.61/408.09 = 287.31/x
  3. Step 3: Cross multiply
    297.61x = 408.09 × 287.31
  4. Step 4: Simplify right side
    297.61x = 117,247.62
  5. Step 5: Solve for x
    x = 117,247.62/297.61
  6. Step 6: Final answer
    x = 393.96

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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.