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Finding the Fourth Proportional to 408.36, 609.97 and 343.56

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Solution

The fourth proportional to 408.36, 609.97 and 343.56 is: 513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.36 : 609.97 = 343.56 : x
  2. Step 2: Convert to fraction form
    408.36/609.97 = 343.56/x
  3. Step 3: Cross multiply
    408.36x = 609.97 × 343.56
  4. Step 4: Simplify right side
    408.36x = 209,561.29
  5. Step 5: Solve for x
    x = 209,561.29/408.36
  6. Step 6: Final answer
    x = 513.18

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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.