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Finding the Fourth Proportional to 609.75, 914.06 and 198.67

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Solution

The fourth proportional to 609.75, 914.06 and 198.67 is: 297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.75 : 914.06 = 198.67 : x
  2. Step 2: Convert to fraction form
    609.75/914.06 = 198.67/x
  3. Step 3: Cross multiply
    609.75x = 914.06 × 198.67
  4. Step 4: Simplify right side
    609.75x = 181,596.45
  5. Step 5: Solve for x
    x = 181,596.45/609.75
  6. Step 6: Final answer
    x = 297.82

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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.