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Finding the Fourth Proportional to 271.57, 406.79 and 161.54

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Solution

The fourth proportional to 271.57, 406.79 and 161.54 is: 241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.57 : 406.79 = 161.54 : x
  2. Step 2: Convert to fraction form
    271.57/406.79 = 161.54/x
  3. Step 3: Cross multiply
    271.57x = 406.79 × 161.54
  4. Step 4: Simplify right side
    271.57x = 65,713.07
  5. Step 5: Solve for x
    x = 65,713.07/271.57
  6. Step 6: Final answer
    x = 241.98

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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.