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Finding the Fourth Proportional to 609.65, 914.18 and 198.56

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Solution

The fourth proportional to 609.65, 914.18 and 198.56 is: 297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.65 : 914.18 = 198.56 : x
  2. Step 2: Convert to fraction form
    609.65/914.18 = 198.56/x
  3. Step 3: Cross multiply
    609.65x = 914.18 × 198.56
  4. Step 4: Simplify right side
    609.65x = 181,514.02
  5. Step 5: Solve for x
    x = 181,514.02/609.65
  6. Step 6: Final answer
    x = 297.74

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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.