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Finding the Fourth Proportional to 322.06, 443.63 and 298.43

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Solution

The fourth proportional to 322.06, 443.63 and 298.43 is: 411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.06 : 443.63 = 298.43 : x
  2. Step 2: Convert to fraction form
    322.06/443.63 = 298.43/x
  3. Step 3: Cross multiply
    322.06x = 443.63 × 298.43
  4. Step 4: Simplify right side
    322.06x = 132,392.12
  5. Step 5: Solve for x
    x = 132,392.12/322.06
  6. Step 6: Final answer
    x = 411.08

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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.