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Finding the Fourth Proportional to 630.72, 946.19 and 219.73

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Solution

The fourth proportional to 630.72, 946.19 and 219.73 is: 329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.72 : 946.19 = 219.73 : x
  2. Step 2: Convert to fraction form
    630.72/946.19 = 219.73/x
  3. Step 3: Cross multiply
    630.72x = 946.19 × 219.73
  4. Step 4: Simplify right side
    630.72x = 207,906.33
  5. Step 5: Solve for x
    x = 207,906.33/630.72
  6. Step 6: Final answer
    x = 329.63

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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.