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Finding the Fourth Proportional to 408.03, 563.09 and 233.37

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Solution

The fourth proportional to 408.03, 563.09 and 233.37 is: 322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.03 : 563.09 = 233.37 : x
  2. Step 2: Convert to fraction form
    408.03/563.09 = 233.37/x
  3. Step 3: Cross multiply
    408.03x = 563.09 × 233.37
  4. Step 4: Simplify right side
    408.03x = 131,407.15
  5. Step 5: Solve for x
    x = 131,407.15/408.03
  6. Step 6: Final answer
    x = 322.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.