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Finding the Fourth Proportional to 321.37, 481.55 and 286.94

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Solution

The fourth proportional to 321.37, 481.55 and 286.94 is: 429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.37 : 481.55 = 286.94 : x
  2. Step 2: Convert to fraction form
    321.37/481.55 = 286.94/x
  3. Step 3: Cross multiply
    321.37x = 481.55 × 286.94
  4. Step 4: Simplify right side
    321.37x = 138,175.73
  5. Step 5: Solve for x
    x = 138,175.73/321.37
  6. Step 6: Final answer
    x = 429.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.