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Finding the Fourth Proportional to 192.82, 263.96 and 186.61

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Solution

The fourth proportional to 192.82, 263.96 and 186.61 is: 255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.82 : 263.96 = 186.61 : x
  2. Step 2: Convert to fraction form
    192.82/263.96 = 186.61/x
  3. Step 3: Cross multiply
    192.82x = 263.96 × 186.61
  4. Step 4: Simplify right side
    192.82x = 49,257.58
  5. Step 5: Solve for x
    x = 49,257.58/192.82
  6. Step 6: Final answer
    x = 255.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.