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Finding the Fourth Proportional to 605.96, 908.60 and 195.08

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Solution

The fourth proportional to 605.96, 908.60 and 195.08 is: 292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.96 : 908.60 = 195.08 : x
  2. Step 2: Convert to fraction form
    605.96/908.60 = 195.08/x
  3. Step 3: Cross multiply
    605.96x = 908.60 × 195.08
  4. Step 4: Simplify right side
    605.96x = 177,249.69
  5. Step 5: Solve for x
    x = 177,249.69/605.96
  6. Step 6: Final answer
    x = 292.51

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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.