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Finding the Fourth Proportional to 234.09, 321.14 and 227.69

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Solution

The fourth proportional to 234.09, 321.14 and 227.69 is: 312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.09 : 321.14 = 227.69 : x
  2. Step 2: Convert to fraction form
    234.09/321.14 = 227.69/x
  3. Step 3: Cross multiply
    234.09x = 321.14 × 227.69
  4. Step 4: Simplify right side
    234.09x = 73,118.99
  5. Step 5: Solve for x
    x = 73,118.99/234.09
  6. Step 6: Final answer
    x = 312.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.