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Finding the Fourth Proportional to 185.86, 278.30 and 170.82

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Solution

The fourth proportional to 185.86, 278.30 and 170.82 is: 255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.86 : 278.30 = 170.82 : x
  2. Step 2: Convert to fraction form
    185.86/278.30 = 170.82/x
  3. Step 3: Cross multiply
    185.86x = 278.30 × 170.82
  4. Step 4: Simplify right side
    185.86x = 47,539.21
  5. Step 5: Solve for x
    x = 47,539.21/185.86
  6. Step 6: Final answer
    x = 255.78

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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.