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Finding the Fourth Proportional to 185.78, 255.75 and 161.08

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Solution

The fourth proportional to 185.78, 255.75 and 161.08 is: 221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.78 : 255.75 = 161.08 : x
  2. Step 2: Convert to fraction form
    185.78/255.75 = 161.08/x
  3. Step 3: Cross multiply
    185.78x = 255.75 × 161.08
  4. Step 4: Simplify right side
    185.78x = 41,196.21
  5. Step 5: Solve for x
    x = 41,196.21/185.78
  6. Step 6: Final answer
    x = 221.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.