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Finding the Fourth Proportional to 321.15, 442.71 and 227.61

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Solution

The fourth proportional to 321.15, 442.71 and 227.61 is: 313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.15 : 442.71 = 227.61 : x
  2. Step 2: Convert to fraction form
    321.15/442.71 = 227.61/x
  3. Step 3: Cross multiply
    321.15x = 442.71 × 227.61
  4. Step 4: Simplify right side
    321.15x = 100,765.22
  5. Step 5: Solve for x
    x = 100,765.22/321.15
  6. Step 6: Final answer
    x = 313.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.