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Finding the Fourth Proportional to 366.85, 550.38 and 181.87

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Solution

The fourth proportional to 366.85, 550.38 and 181.87 is: 272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.85 : 550.38 = 181.87 : x
  2. Step 2: Convert to fraction form
    366.85/550.38 = 181.87/x
  3. Step 3: Cross multiply
    366.85x = 550.38 × 181.87
  4. Step 4: Simplify right side
    366.85x = 100,096.92
  5. Step 5: Solve for x
    x = 100,096.92/366.85
  6. Step 6: Final answer
    x = 272.85

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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.