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Finding the Fourth Proportional to 322.32, 443.58 and 239.28

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Solution

The fourth proportional to 322.32, 443.58 and 239.28 is: 329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.32 : 443.58 = 239.28 : x
  2. Step 2: Convert to fraction form
    322.32/443.58 = 239.28/x
  3. Step 3: Cross multiply
    322.32x = 443.58 × 239.28
  4. Step 4: Simplify right side
    322.32x = 106,139.82
  5. Step 5: Solve for x
    x = 106,139.82/322.32
  6. Step 6: Final answer
    x = 329.30

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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.