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Finding the Fourth Proportional to 233.28, 349.38 and 219.78

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Solution

The fourth proportional to 233.28, 349.38 and 219.78 is: 329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.28 : 349.38 = 219.78 : x
  2. Step 2: Convert to fraction form
    233.28/349.38 = 219.78/x
  3. Step 3: Cross multiply
    233.28x = 349.38 × 219.78
  4. Step 4: Simplify right side
    233.28x = 76,786.74
  5. Step 5: Solve for x
    x = 76,786.74/233.28
  6. Step 6: Final answer
    x = 329.16

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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.