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Finding the Fourth Proportional to 185.86, 279.22 and 174.92

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Solution

The fourth proportional to 185.86, 279.22 and 174.92 is: 262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.86 : 279.22 = 174.92 : x
  2. Step 2: Convert to fraction form
    185.86/279.22 = 174.92/x
  3. Step 3: Cross multiply
    185.86x = 279.22 × 174.92
  4. Step 4: Simplify right side
    185.86x = 48,841.16
  5. Step 5: Solve for x
    x = 48,841.16/185.86
  6. Step 6: Final answer
    x = 262.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.