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Finding the Fourth Proportional to 322.14, 444.24 and 239.16

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Solution

The fourth proportional to 322.14, 444.24 and 239.16 is: 329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.14 : 444.24 = 239.16 : x
  2. Step 2: Convert to fraction form
    322.14/444.24 = 239.16/x
  3. Step 3: Cross multiply
    322.14x = 444.24 × 239.16
  4. Step 4: Simplify right side
    322.14x = 106,244.44
  5. Step 5: Solve for x
    x = 106,244.44/322.14
  6. Step 6: Final answer
    x = 329.81

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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.