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Finding the Fourth Proportional to 298.22, 410.41 and 244.61

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Solution

The fourth proportional to 298.22, 410.41 and 244.61 is: 336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.22 : 410.41 = 244.61 : x
  2. Step 2: Convert to fraction form
    298.22/410.41 = 244.61/x
  3. Step 3: Cross multiply
    298.22x = 410.41 × 244.61
  4. Step 4: Simplify right side
    298.22x = 100,387.73
  5. Step 5: Solve for x
    x = 100,387.73/298.22
  6. Step 6: Final answer
    x = 336.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.