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Finding the Fourth Proportional to 271.43, 408.74 and 237.59

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Solution

The fourth proportional to 271.43, 408.74 and 237.59 is: 357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.43 : 408.74 = 237.59 : x
  2. Step 2: Convert to fraction form
    271.43/408.74 = 237.59/x
  3. Step 3: Cross multiply
    271.43x = 408.74 × 237.59
  4. Step 4: Simplify right side
    271.43x = 97,112.54
  5. Step 5: Solve for x
    x = 97,112.54/271.43
  6. Step 6: Final answer
    x = 357.78

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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.