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Finding the Fourth Proportional to 219.78, 329.70 and 111.48

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Solution

The fourth proportional to 219.78, 329.70 and 111.48 is: 167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.78 : 329.70 = 111.48 : x
  2. Step 2: Convert to fraction form
    219.78/329.70 = 111.48/x
  3. Step 3: Cross multiply
    219.78x = 329.70 × 111.48
  4. Step 4: Simplify right side
    219.78x = 36,754.96
  5. Step 5: Solve for x
    x = 36,754.96/219.78
  6. Step 6: Final answer
    x = 167.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.