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Finding the Fourth Proportional to 208.86, 311.96 and 185.94

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Solution

The fourth proportional to 208.86, 311.96 and 185.94 is: 277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.86 : 311.96 = 185.94 : x
  2. Step 2: Convert to fraction form
    208.86/311.96 = 185.94/x
  3. Step 3: Cross multiply
    208.86x = 311.96 × 185.94
  4. Step 4: Simplify right side
    208.86x = 58,004.91
  5. Step 5: Solve for x
    x = 58,004.91/208.86
  6. Step 6: Final answer
    x = 277.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.