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Finding the Fourth Proportional to 408.41, 612.64 and 244.99

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Solution

The fourth proportional to 408.41, 612.64 and 244.99 is: 367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.41 : 612.64 = 244.99 : x
  2. Step 2: Convert to fraction form
    408.41/612.64 = 244.99/x
  3. Step 3: Cross multiply
    408.41x = 612.64 × 244.99
  4. Step 4: Simplify right side
    408.41x = 150,093.90
  5. Step 5: Solve for x
    x = 150,093.90/408.41
  6. Step 6: Final answer
    x = 367.51

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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.