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Finding the Fourth Proportional to 184.57, 276.90 and 112.49

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Solution

The fourth proportional to 184.57, 276.90 and 112.49 is: 168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.57 : 276.90 = 112.49 : x
  2. Step 2: Convert to fraction form
    184.57/276.90 = 112.49/x
  3. Step 3: Cross multiply
    184.57x = 276.90 × 112.49
  4. Step 4: Simplify right side
    184.57x = 31,147.92
  5. Step 5: Solve for x
    x = 31,147.92/184.57
  6. Step 6: Final answer
    x = 168.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.