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Finding the Fourth Proportional to 609.13, 913.60 and 198.22

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Solution

The fourth proportional to 609.13, 913.60 and 198.22 is: 297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.13 : 913.60 = 198.22 : x
  2. Step 2: Convert to fraction form
    609.13/913.60 = 198.22/x
  3. Step 3: Cross multiply
    609.13x = 913.60 × 198.22
  4. Step 4: Simplify right side
    609.13x = 181,093.79
  5. Step 5: Solve for x
    x = 181,093.79/609.13
  6. Step 6: Final answer
    x = 297.30

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1.5x scale

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.