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Finding the Fourth Proportional to 409.43, 614.41 and 244.77

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Solution

The fourth proportional to 409.43, 614.41 and 244.77 is: 367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.43 : 614.41 = 244.77 : x
  2. Step 2: Convert to fraction form
    409.43/614.41 = 244.77/x
  3. Step 3: Cross multiply
    409.43x = 614.41 × 244.77
  4. Step 4: Simplify right side
    409.43x = 150,388.52
  5. Step 5: Solve for x
    x = 150,388.52/409.43
  6. Step 6: Final answer
    x = 367.32

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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.