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Finding the Fourth Proportional to 272.69, 408.32 and 185.82

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Solution

The fourth proportional to 272.69, 408.32 and 185.82 is: 278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.69 : 408.32 = 185.82 : x
  2. Step 2: Convert to fraction form
    272.69/408.32 = 185.82/x
  3. Step 3: Cross multiply
    272.69x = 408.32 × 185.82
  4. Step 4: Simplify right side
    272.69x = 75,874.02
  5. Step 5: Solve for x
    x = 75,874.02/272.69
  6. Step 6: Final answer
    x = 278.24

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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.