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Finding the Fourth Proportional to 408.36, 563.58 and 331.32

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Solution

The fourth proportional to 408.36, 563.58 and 331.32 is: 457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.36 : 563.58 = 331.32 : x
  2. Step 2: Convert to fraction form
    408.36/563.58 = 331.32/x
  3. Step 3: Cross multiply
    408.36x = 563.58 × 331.32
  4. Step 4: Simplify right side
    408.36x = 186,725.33
  5. Step 5: Solve for x
    x = 186,725.33/408.36
  6. Step 6: Final answer
    x = 457.26

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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.