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Finding the Fourth Proportional to 221.54, 333.52 and 161.09

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Solution

The fourth proportional to 221.54, 333.52 and 161.09 is: 242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.54 : 333.52 = 161.09 : x
  2. Step 2: Convert to fraction form
    221.54/333.52 = 161.09/x
  3. Step 3: Cross multiply
    221.54x = 333.52 × 161.09
  4. Step 4: Simplify right side
    221.54x = 53,725.92
  5. Step 5: Solve for x
    x = 53,725.92/221.54
  6. Step 6: Final answer
    x = 242.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.