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Finding the Fourth Proportional to 188.86, 262.43 and 186.88

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Solution

The fourth proportional to 188.86, 262.43 and 186.88 is: 259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.86 : 262.43 = 186.88 : x
  2. Step 2: Convert to fraction form
    188.86/262.43 = 186.88/x
  3. Step 3: Cross multiply
    188.86x = 262.43 × 186.88
  4. Step 4: Simplify right side
    188.86x = 49,042.92
  5. Step 5: Solve for x
    x = 49,042.92/188.86
  6. Step 6: Final answer
    x = 259.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.