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Finding the Fourth Proportional to 171.57, 255.78 and 161.24

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Solution

The fourth proportional to 171.57, 255.78 and 161.24 is: 240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.57 : 255.78 = 161.24 : x
  2. Step 2: Convert to fraction form
    171.57/255.78 = 161.24/x
  3. Step 3: Cross multiply
    171.57x = 255.78 × 161.24
  4. Step 4: Simplify right side
    171.57x = 41,240.69
  5. Step 5: Solve for x
    x = 41,240.69/171.57
  6. Step 6: Final answer
    x = 240.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.