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Finding the Fourth Proportional to 223.33, 333.70 and 161.33

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Solution

The fourth proportional to 223.33, 333.70 and 161.33 is: 241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.33 : 333.70 = 161.33 : x
  2. Step 2: Convert to fraction form
    223.33/333.70 = 161.33/x
  3. Step 3: Cross multiply
    223.33x = 333.70 × 161.33
  4. Step 4: Simplify right side
    223.33x = 53,835.01
  5. Step 5: Solve for x
    x = 53,835.01/223.33
  6. Step 6: Final answer
    x = 241.06

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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.