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Finding the Fourth Proportional to 322.08, 481.26 and 230.28

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Solution

The fourth proportional to 322.08, 481.26 and 230.28 is: 344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.08 : 481.26 = 230.28 : x
  2. Step 2: Convert to fraction form
    322.08/481.26 = 230.28/x
  3. Step 3: Cross multiply
    322.08x = 481.26 × 230.28
  4. Step 4: Simplify right side
    322.08x = 110,824.55
  5. Step 5: Solve for x
    x = 110,824.55/322.08
  6. Step 6: Final answer
    x = 344.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.