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Finding the Fourth Proportional to 184.80, 254.86 and 122.68

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Solution

The fourth proportional to 184.80, 254.86 and 122.68 is: 169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.80 : 254.86 = 122.68 : x
  2. Step 2: Convert to fraction form
    184.80/254.86 = 122.68/x
  3. Step 3: Cross multiply
    184.80x = 254.86 × 122.68
  4. Step 4: Simplify right side
    184.80x = 31,266.22
  5. Step 5: Solve for x
    x = 31,266.22/184.80
  6. Step 6: Final answer
    x = 169.19

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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.