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Finding the Fourth Proportional to 249.03, 343.70 and 161.85

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Solution

The fourth proportional to 249.03, 343.70 and 161.85 is: 223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.03 : 343.70 = 161.85 : x
  2. Step 2: Convert to fraction form
    249.03/343.70 = 161.85/x
  3. Step 3: Cross multiply
    249.03x = 343.70 × 161.85
  4. Step 4: Simplify right side
    249.03x = 55,627.04
  5. Step 5: Solve for x
    x = 55,627.04/249.03
  6. Step 6: Final answer
    x = 223.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.