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Finding the Fourth Proportional to 184.21, 274.39 and 180.56

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Solution

The fourth proportional to 184.21, 274.39 and 180.56 is: 268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.21 : 274.39 = 180.56 : x
  2. Step 2: Convert to fraction form
    184.21/274.39 = 180.56/x
  3. Step 3: Cross multiply
    184.21x = 274.39 × 180.56
  4. Step 4: Simplify right side
    184.21x = 49,544.09
  5. Step 5: Solve for x
    x = 49,544.09/184.21
  6. Step 6: Final answer
    x = 268.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.