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Finding the Fourth Proportional to 609.75, 914.70 and 198.81

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Solution

The fourth proportional to 609.75, 914.70 and 198.81 is: 298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.75 : 914.70 = 198.81 : x
  2. Step 2: Convert to fraction form
    609.75/914.70 = 198.81/x
  3. Step 3: Cross multiply
    609.75x = 914.70 × 198.81
  4. Step 4: Simplify right side
    609.75x = 181,845.94
  5. Step 5: Solve for x
    x = 181,845.94/609.75
  6. Step 6: Final answer
    x = 298.23

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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.