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Finding the Fourth Proportional to 322.06, 444.42 and 182.18

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Solution

The fourth proportional to 322.06, 444.42 and 182.18 is: 251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.06 : 444.42 = 182.18 : x
  2. Step 2: Convert to fraction form
    322.06/444.42 = 182.18/x
  3. Step 3: Cross multiply
    322.06x = 444.42 × 182.18
  4. Step 4: Simplify right side
    322.06x = 80,964.44
  5. Step 5: Solve for x
    x = 80,964.44/322.06
  6. Step 6: Final answer
    x = 251.40

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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.