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Finding the Fourth Proportional to 312.26, 431.26 and 195.89

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Solution

The fourth proportional to 312.26, 431.26 and 195.89 is: 270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.26 : 431.26 = 195.89 : x
  2. Step 2: Convert to fraction form
    312.26/431.26 = 195.89/x
  3. Step 3: Cross multiply
    312.26x = 431.26 × 195.89
  4. Step 4: Simplify right side
    312.26x = 84,476.88
  5. Step 5: Solve for x
    x = 84,476.88/312.26
  6. Step 6: Final answer
    x = 270.54

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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.