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Finding the Fourth Proportional to 271.38, 408.63 and 190.74

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Solution

The fourth proportional to 271.38, 408.63 and 190.74 is: 287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.38 : 408.63 = 190.74 : x
  2. Step 2: Convert to fraction form
    271.38/408.63 = 190.74/x
  3. Step 3: Cross multiply
    271.38x = 408.63 × 190.74
  4. Step 4: Simplify right side
    271.38x = 77,942.09
  5. Step 5: Solve for x
    x = 77,942.09/271.38
  6. Step 6: Final answer
    x = 287.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.