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Finding the Fourth Proportional to 271.94, 408.18 and 185.28

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Solution

The fourth proportional to 271.94, 408.18 and 185.28 is: 278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.94 : 408.18 = 185.28 : x
  2. Step 2: Convert to fraction form
    271.94/408.18 = 185.28/x
  3. Step 3: Cross multiply
    271.94x = 408.18 × 185.28
  4. Step 4: Simplify right side
    271.94x = 75,627.59
  5. Step 5: Solve for x
    x = 75,627.59/271.94
  6. Step 6: Final answer
    x = 278.10

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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.