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Finding the Fourth Proportional to 271.10, 406.38 and 189.92

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Solution

The fourth proportional to 271.10, 406.38 and 189.92 is: 284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.10 : 406.38 = 189.92 : x
  2. Step 2: Convert to fraction form
    271.10/406.38 = 189.92/x
  3. Step 3: Cross multiply
    271.10x = 406.38 × 189.92
  4. Step 4: Simplify right side
    271.10x = 77,179.69
  5. Step 5: Solve for x
    x = 77,179.69/271.10
  6. Step 6: Final answer
    x = 284.69

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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.