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Finding the Fourth Proportional to 184.93, 255.21 and 122.80

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Solution

The fourth proportional to 184.93, 255.21 and 122.80 is: 169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.93 : 255.21 = 122.80 : x
  2. Step 2: Convert to fraction form
    184.93/255.21 = 122.80/x
  3. Step 3: Cross multiply
    184.93x = 255.21 × 122.80
  4. Step 4: Simplify right side
    184.93x = 31,339.79
  5. Step 5: Solve for x
    x = 31,339.79/184.93
  6. Step 6: Final answer
    x = 169.47

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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.