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Finding the Fourth Proportional to 297.36, 408.17 and 263.88

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Solution

The fourth proportional to 297.36, 408.17 and 263.88 is: 362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.36 : 408.17 = 263.88 : x
  2. Step 2: Convert to fraction form
    297.36/408.17 = 263.88/x
  3. Step 3: Cross multiply
    297.36x = 408.17 × 263.88
  4. Step 4: Simplify right side
    297.36x = 107,707.90
  5. Step 5: Solve for x
    x = 107,707.90/297.36
  6. Step 6: Final answer
    x = 362.21

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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.