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Finding the Fourth Proportional to 609.51, 914.01 and 198.54

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Solution

The fourth proportional to 609.51, 914.01 and 198.54 is: 297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.51 : 914.01 = 198.54 : x
  2. Step 2: Convert to fraction form
    609.51/914.01 = 198.54/x
  3. Step 3: Cross multiply
    609.51x = 914.01 × 198.54
  4. Step 4: Simplify right side
    609.51x = 181,467.55
  5. Step 5: Solve for x
    x = 181,467.55/609.51
  6. Step 6: Final answer
    x = 297.73

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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.