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Finding the Fourth Proportional to 231.24, 344.93 and 220.11

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Solution

The fourth proportional to 231.24, 344.93 and 220.11 is: 328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.24 : 344.93 = 220.11 : x
  2. Step 2: Convert to fraction form
    231.24/344.93 = 220.11/x
  3. Step 3: Cross multiply
    231.24x = 344.93 × 220.11
  4. Step 4: Simplify right side
    231.24x = 75,922.54
  5. Step 5: Solve for x
    x = 75,922.54/231.24
  6. Step 6: Final answer
    x = 328.33

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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.