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Finding the Fourth Proportional to 366.48, 550.11 and 327.72

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Solution

The fourth proportional to 366.48, 550.11 and 327.72 is: 491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.48 : 550.11 = 327.72 : x
  2. Step 2: Convert to fraction form
    366.48/550.11 = 327.72/x
  3. Step 3: Cross multiply
    366.48x = 550.11 × 327.72
  4. Step 4: Simplify right side
    366.48x = 180,282.05
  5. Step 5: Solve for x
    x = 180,282.05/366.48
  6. Step 6: Final answer
    x = 491.93

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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.