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Finding the Fourth Proportional to 408.92, 563.78 and 261.30

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Solution

The fourth proportional to 408.92, 563.78 and 261.30 is: 360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.92 : 563.78 = 261.30 : x
  2. Step 2: Convert to fraction form
    408.92/563.78 = 261.30/x
  3. Step 3: Cross multiply
    408.92x = 563.78 × 261.30
  4. Step 4: Simplify right side
    408.92x = 147,315.71
  5. Step 5: Solve for x
    x = 147,315.71/408.92
  6. Step 6: Final answer
    x = 360.26

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