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Finding the Fourth Proportional to 322.12, 481.13 and 286.28

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Solution

The fourth proportional to 322.12, 481.13 and 286.28 is: 427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.12 : 481.13 = 286.28 : x
  2. Step 2: Convert to fraction form
    322.12/481.13 = 286.28/x
  3. Step 3: Cross multiply
    322.12x = 481.13 × 286.28
  4. Step 4: Simplify right side
    322.12x = 137,737.90
  5. Step 5: Solve for x
    x = 137,737.90/322.12
  6. Step 6: Final answer
    x = 427.60

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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.