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Finding the Fourth Proportional to 609.85, 914.90 and 198.96

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Solution

The fourth proportional to 609.85, 914.90 and 198.96 is: 298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.85 : 914.90 = 198.96 : x
  2. Step 2: Convert to fraction form
    609.85/914.90 = 198.96/x
  3. Step 3: Cross multiply
    609.85x = 914.90 × 198.96
  4. Step 4: Simplify right side
    609.85x = 182,024.08
  5. Step 5: Solve for x
    x = 182,024.08/609.85
  6. Step 6: Final answer
    x = 298.47

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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.