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Finding the Fourth Proportional to 230.73, 348.09 and 219.35

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Solution

The fourth proportional to 230.73, 348.09 and 219.35 is: 330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.73 : 348.09 = 219.35 : x
  2. Step 2: Convert to fraction form
    230.73/348.09 = 219.35/x
  3. Step 3: Cross multiply
    230.73x = 348.09 × 219.35
  4. Step 4: Simplify right side
    230.73x = 76,351.80
  5. Step 5: Solve for x
    x = 76,351.80/230.73
  6. Step 6: Final answer
    x = 330.91

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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.