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Finding the Fourth Proportional to 408.27, 610.17 and 330.42

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Solution

The fourth proportional to 408.27, 610.17 and 330.42 is: 493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.27 : 610.17 = 330.42 : x
  2. Step 2: Convert to fraction form
    408.27/610.17 = 330.42/x
  3. Step 3: Cross multiply
    408.27x = 610.17 × 330.42
  4. Step 4: Simplify right side
    408.27x = 201,612.37
  5. Step 5: Solve for x
    x = 201,612.37/408.27
  6. Step 6: Final answer
    x = 493.82

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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.