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Finding the Fourth Proportional to 223.05, 333.83 and 161.18

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Solution

The fourth proportional to 223.05, 333.83 and 161.18 is: 241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.05 : 333.83 = 161.18 : x
  2. Step 2: Convert to fraction form
    223.05/333.83 = 161.18/x
  3. Step 3: Cross multiply
    223.05x = 333.83 × 161.18
  4. Step 4: Simplify right side
    223.05x = 53,804.24
  5. Step 5: Solve for x
    x = 53,804.24/223.05
  6. Step 6: Final answer
    x = 241.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.