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Finding the Fourth Proportional to 184.97, 255.72 and 161.89

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Solution

The fourth proportional to 184.97, 255.72 and 161.89 is: 223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.97 : 255.72 = 161.89 : x
  2. Step 2: Convert to fraction form
    184.97/255.72 = 161.89/x
  3. Step 3: Cross multiply
    184.97x = 255.72 × 161.89
  4. Step 4: Simplify right side
    184.97x = 41,398.48
  5. Step 5: Solve for x
    x = 41,398.48/184.97
  6. Step 6: Final answer
    x = 223.81

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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.