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Finding the Fourth Proportional to 231.09, 344.23 and 218.67

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Solution

The fourth proportional to 231.09, 344.23 and 218.67 is: 325.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.09 : 344.23 = 218.67 : x
  2. Step 2: Convert to fraction form
    231.09/344.23 = 218.67/x
  3. Step 3: Cross multiply
    231.09x = 344.23 × 218.67
  4. Step 4: Simplify right side
    231.09x = 75,272.77
  5. Step 5: Solve for x
    x = 75,272.77/231.09
  6. Step 6: Final answer
    x = 325.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.