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Finding the Fourth Proportional to 393.03, 589.55 and 219.62

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Solution

The fourth proportional to 393.03, 589.55 and 219.62 is: 329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.03 : 589.55 = 219.62 : x
  2. Step 2: Convert to fraction form
    393.03/589.55 = 219.62/x
  3. Step 3: Cross multiply
    393.03x = 589.55 × 219.62
  4. Step 4: Simplify right side
    393.03x = 129,472.93
  5. Step 5: Solve for x
    x = 129,472.93/393.03
  6. Step 6: Final answer
    x = 329.42

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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.