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Finding the Fourth Proportional to 408.14, 563.44 and 261.02

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Solution

The fourth proportional to 408.14, 563.44 and 261.02 is: 360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.14 : 563.44 = 261.02 : x
  2. Step 2: Convert to fraction form
    408.14/563.44 = 261.02/x
  3. Step 3: Cross multiply
    408.14x = 563.44 × 261.02
  4. Step 4: Simplify right side
    408.14x = 147,066.29
  5. Step 5: Solve for x
    x = 147,066.29/408.14
  6. Step 6: Final answer
    x = 360.34

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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.