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Finding the Fourth Proportional to 321.22, 481.39 and 284.57

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Solution

The fourth proportional to 321.22, 481.39 and 284.57 is: 426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.22 : 481.39 = 284.57 : x
  2. Step 2: Convert to fraction form
    321.22/481.39 = 284.57/x
  3. Step 3: Cross multiply
    321.22x = 481.39 × 284.57
  4. Step 4: Simplify right side
    321.22x = 136,989.15
  5. Step 5: Solve for x
    x = 136,989.15/321.22
  6. Step 6: Final answer
    x = 426.47

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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.