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Finding the Fourth Proportional to 234.27, 325.56 and 231.77

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Solution

The fourth proportional to 234.27, 325.56 and 231.77 is: 322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.27 : 325.56 = 231.77 : x
  2. Step 2: Convert to fraction form
    234.27/325.56 = 231.77/x
  3. Step 3: Cross multiply
    234.27x = 325.56 × 231.77
  4. Step 4: Simplify right side
    234.27x = 75,453.41
  5. Step 5: Solve for x
    x = 75,453.41/234.27
  6. Step 6: Final answer
    x = 322.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.