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Finding the Fourth Proportional to 184.92, 255.22 and 111.27

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Solution

The fourth proportional to 184.92, 255.22 and 111.27 is: 153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.92 : 255.22 = 111.27 : x
  2. Step 2: Convert to fraction form
    184.92/255.22 = 111.27/x
  3. Step 3: Cross multiply
    184.92x = 255.22 × 111.27
  4. Step 4: Simplify right side
    184.92x = 28,399.01
  5. Step 5: Solve for x
    x = 28,399.01/184.92
  6. Step 6: Final answer
    x = 153.58

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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.