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Finding the Fourth Proportional to 184.85, 277.26 and 75.19

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Solution

The fourth proportional to 184.85, 277.26 and 75.19 is: 112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.85 : 277.26 = 75.19 : x
  2. Step 2: Convert to fraction form
    184.85/277.26 = 75.19/x
  3. Step 3: Cross multiply
    184.85x = 277.26 × 75.19
  4. Step 4: Simplify right side
    184.85x = 20,847.18
  5. Step 5: Solve for x
    x = 20,847.18/184.85
  6. Step 6: Final answer
    x = 112.78

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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.