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Finding the Fourth Proportional to 184.45, 254.20 and 137.71

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Solution

The fourth proportional to 184.45, 254.20 and 137.71 is: 189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.45 : 254.20 = 137.71 : x
  2. Step 2: Convert to fraction form
    184.45/254.20 = 137.71/x
  3. Step 3: Cross multiply
    184.45x = 254.20 × 137.71
  4. Step 4: Simplify right side
    184.45x = 35,006.66
  5. Step 5: Solve for x
    x = 35,006.66/184.45
  6. Step 6: Final answer
    x = 189.79

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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.