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Finding the Fourth Proportional to 589.38, 884.40 and 219.44

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Solution

The fourth proportional to 589.38, 884.40 and 219.44 is: 329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.38 : 884.40 = 219.44 : x
  2. Step 2: Convert to fraction form
    589.38/884.40 = 219.44/x
  3. Step 3: Cross multiply
    589.38x = 884.40 × 219.44
  4. Step 4: Simplify right side
    589.38x = 194,072.74
  5. Step 5: Solve for x
    x = 194,072.74/589.38
  6. Step 6: Final answer
    x = 329.29

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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.