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Finding the Fourth Proportional to 408.73, 563.81 and 261.31

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Solution

The fourth proportional to 408.73, 563.81 and 261.31 is: 360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.73 : 563.81 = 261.31 : x
  2. Step 2: Convert to fraction form
    408.73/563.81 = 261.31/x
  3. Step 3: Cross multiply
    408.73x = 563.81 × 261.31
  4. Step 4: Simplify right side
    408.73x = 147,326.48
  5. Step 5: Solve for x
    x = 147,326.48/408.73
  6. Step 6: Final answer
    x = 360.45

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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.