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Finding the Fourth Proportional to 195.98, 270.26 and 186.26

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Solution

The fourth proportional to 195.98, 270.26 and 186.26 is: 256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.98 : 270.26 = 186.26 : x
  2. Step 2: Convert to fraction form
    195.98/270.26 = 186.26/x
  3. Step 3: Cross multiply
    195.98x = 270.26 × 186.26
  4. Step 4: Simplify right side
    195.98x = 50,338.63
  5. Step 5: Solve for x
    x = 50,338.63/195.98
  6. Step 6: Final answer
    x = 256.86

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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.