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Finding the Fourth Proportional to 367.09, 550.53 and 181.90

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Solution

The fourth proportional to 367.09, 550.53 and 181.90 is: 272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.09 : 550.53 = 181.90 : x
  2. Step 2: Convert to fraction form
    367.09/550.53 = 181.90/x
  3. Step 3: Cross multiply
    367.09x = 550.53 × 181.90
  4. Step 4: Simplify right side
    367.09x = 100,141.41
  5. Step 5: Solve for x
    x = 100,141.41/367.09
  6. Step 6: Final answer
    x = 272.80

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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.