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Finding the Fourth Proportional to 609.35, 913.92 and 219.29

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Solution

The fourth proportional to 609.35, 913.92 and 219.29 is: 328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.35 : 913.92 = 219.29 : x
  2. Step 2: Convert to fraction form
    609.35/913.92 = 219.29/x
  3. Step 3: Cross multiply
    609.35x = 913.92 × 219.29
  4. Step 4: Simplify right side
    609.35x = 200,408.95
  5. Step 5: Solve for x
    x = 200,408.95/609.35
  6. Step 6: Final answer
    x = 328.89

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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.