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Finding the Fourth Proportional to 309.45, 426.74 and 185.09

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Solution

The fourth proportional to 309.45, 426.74 and 185.09 is: 255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.45 : 426.74 = 185.09 : x
  2. Step 2: Convert to fraction form
    309.45/426.74 = 185.09/x
  3. Step 3: Cross multiply
    309.45x = 426.74 × 185.09
  4. Step 4: Simplify right side
    309.45x = 78,984.44
  5. Step 5: Solve for x
    x = 78,984.44/309.45
  6. Step 6: Final answer
    x = 255.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.