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Finding the Fourth Proportional to 408.74, 563.81 and 261.32

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Solution

The fourth proportional to 408.74, 563.81 and 261.32 is: 360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.74 : 563.81 = 261.32 : x
  2. Step 2: Convert to fraction form
    408.74/563.81 = 261.32/x
  3. Step 3: Cross multiply
    408.74x = 563.81 × 261.32
  4. Step 4: Simplify right side
    408.74x = 147,330.70
  5. Step 5: Solve for x
    x = 147,330.70/408.74
  6. Step 6: Final answer
    x = 360.46

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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.