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Finding the Fourth Proportional to 219.72, 329.40 and 123.36

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Solution

The fourth proportional to 219.72, 329.40 and 123.36 is: 184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.72 : 329.40 = 123.36 : x
  2. Step 2: Convert to fraction form
    219.72/329.40 = 123.36/x
  3. Step 3: Cross multiply
    219.72x = 329.40 × 123.36
  4. Step 4: Simplify right side
    219.72x = 40,634.78
  5. Step 5: Solve for x
    x = 40,634.78/219.72
  6. Step 6: Final answer
    x = 184.94

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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.