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Finding the Fourth Proportional to 234.08, 325.61 and 229.62

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Solution

The fourth proportional to 234.08, 325.61 and 229.62 is: 319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.08 : 325.61 = 229.62 : x
  2. Step 2: Convert to fraction form
    234.08/325.61 = 229.62/x
  3. Step 3: Cross multiply
    234.08x = 325.61 × 229.62
  4. Step 4: Simplify right side
    234.08x = 74,766.57
  5. Step 5: Solve for x
    x = 74,766.57/234.08
  6. Step 6: Final answer
    x = 319.41

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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.