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Finding the Fourth Proportional to 219.33, 330.46 and 181.65

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Solution

The fourth proportional to 219.33, 330.46 and 181.65 is: 273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.33 : 330.46 = 181.65 : x
  2. Step 2: Convert to fraction form
    219.33/330.46 = 181.65/x
  3. Step 3: Cross multiply
    219.33x = 330.46 × 181.65
  4. Step 4: Simplify right side
    219.33x = 60,028.06
  5. Step 5: Solve for x
    x = 60,028.06/219.33
  6. Step 6: Final answer
    x = 273.69

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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.