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Finding the Fourth Proportional to 322.66, 481.28 and 282.16

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Solution

The fourth proportional to 322.66, 481.28 and 282.16 is: 420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.66 : 481.28 = 282.16 : x
  2. Step 2: Convert to fraction form
    322.66/481.28 = 282.16/x
  3. Step 3: Cross multiply
    322.66x = 481.28 × 282.16
  4. Step 4: Simplify right side
    322.66x = 135,797.96
  5. Step 5: Solve for x
    x = 135,797.96/322.66
  6. Step 6: Final answer
    x = 420.87

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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.