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Finding the Fourth Proportional to 271.65, 408.41 and 250.05

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Solution

The fourth proportional to 271.65, 408.41 and 250.05 is: 375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.65 : 408.41 = 250.05 : x
  2. Step 2: Convert to fraction form
    271.65/408.41 = 250.05/x
  3. Step 3: Cross multiply
    271.65x = 408.41 × 250.05
  4. Step 4: Simplify right side
    271.65x = 102,124.14
  5. Step 5: Solve for x
    x = 102,124.14/271.65
  6. Step 6: Final answer
    x = 375.93

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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.