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Finding the Fourth Proportional to 249.72, 343.08 and 223.83

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Solution

The fourth proportional to 249.72, 343.08 and 223.83 is: 307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.72 : 343.08 = 223.83 : x
  2. Step 2: Convert to fraction form
    249.72/343.08 = 223.83/x
  3. Step 3: Cross multiply
    249.72x = 343.08 × 223.83
  4. Step 4: Simplify right side
    249.72x = 76,791.60
  5. Step 5: Solve for x
    x = 76,791.60/249.72
  6. Step 6: Final answer
    x = 307.51

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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.