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Finding the Fourth Proportional to 408.75, 563.68 and 261.33

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Solution

The fourth proportional to 408.75, 563.68 and 261.33 is: 360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.75 : 563.68 = 261.33 : x
  2. Step 2: Convert to fraction form
    408.75/563.68 = 261.33/x
  3. Step 3: Cross multiply
    408.75x = 563.68 × 261.33
  4. Step 4: Simplify right side
    408.75x = 147,305.19
  5. Step 5: Solve for x
    x = 147,305.19/408.75
  6. Step 6: Final answer
    x = 360.38

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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.