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Finding the Fourth Proportional to 409.41, 613.08 and 226.62

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Solution

The fourth proportional to 409.41, 613.08 and 226.62 is: 339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.41 : 613.08 = 226.62 : x
  2. Step 2: Convert to fraction form
    409.41/613.08 = 226.62/x
  3. Step 3: Cross multiply
    409.41x = 613.08 × 226.62
  4. Step 4: Simplify right side
    409.41x = 138,936.19
  5. Step 5: Solve for x
    x = 138,936.19/409.41
  6. Step 6: Final answer
    x = 339.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.