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Finding the Fourth Proportional to 309.87, 464.25 and 194.09

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Solution

The fourth proportional to 309.87, 464.25 and 194.09 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.87 : 464.25 = 194.09 : x
  2. Step 2: Convert to fraction form
    309.87/464.25 = 194.09/x
  3. Step 3: Cross multiply
    309.87x = 464.25 × 194.09
  4. Step 4: Simplify right side
    309.87x = 90,103.96
  5. Step 5: Solve for x
    x = 90,103.96/309.87
  6. Step 6: Final answer
    x = 290.78

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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.