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Finding the Fourth Proportional to 220.33, 329.19 and 181.37

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Solution

The fourth proportional to 220.33, 329.19 and 181.37 is: 270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.33 : 329.19 = 181.37 : x
  2. Step 2: Convert to fraction form
    220.33/329.19 = 181.37/x
  3. Step 3: Cross multiply
    220.33x = 329.19 × 181.37
  4. Step 4: Simplify right side
    220.33x = 59,703.54
  5. Step 5: Solve for x
    x = 59,703.54/220.33
  6. Step 6: Final answer
    x = 270.98

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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.