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Finding the Fourth Proportional to 222.48, 304.92 and 219.60

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Solution

The fourth proportional to 222.48, 304.92 and 219.60 is: 300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.48 : 304.92 = 219.60 : x
  2. Step 2: Convert to fraction form
    222.48/304.92 = 219.60/x
  3. Step 3: Cross multiply
    222.48x = 304.92 × 219.60
  4. Step 4: Simplify right side
    222.48x = 66,960.43
  5. Step 5: Solve for x
    x = 66,960.43/222.48
  6. Step 6: Final answer
    x = 300.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.