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Finding the Fourth Proportional to 408.56, 610.18 and 335.60

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Solution

The fourth proportional to 408.56, 610.18 and 335.60 is: 501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.56 : 610.18 = 335.60 : x
  2. Step 2: Convert to fraction form
    408.56/610.18 = 335.60/x
  3. Step 3: Cross multiply
    408.56x = 610.18 × 335.60
  4. Step 4: Simplify right side
    408.56x = 204,776.41
  5. Step 5: Solve for x
    x = 204,776.41/408.56
  6. Step 6: Final answer
    x = 501.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.