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Finding the Fourth Proportional to 409.05, 611.21 and 344.25

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Solution

The fourth proportional to 409.05, 611.21 and 344.25 is: 514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.05 : 611.21 = 344.25 : x
  2. Step 2: Convert to fraction form
    409.05/611.21 = 344.25/x
  3. Step 3: Cross multiply
    409.05x = 611.21 × 344.25
  4. Step 4: Simplify right side
    409.05x = 210,409.90
  5. Step 5: Solve for x
    x = 210,409.90/409.05
  6. Step 6: Final answer
    x = 514.39

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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.