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Finding the Fourth Proportional to 367.14, 550.61 and 161.66

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Solution

The fourth proportional to 367.14, 550.61 and 161.66 is: 242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.14 : 550.61 = 161.66 : x
  2. Step 2: Convert to fraction form
    367.14/550.61 = 161.66/x
  3. Step 3: Cross multiply
    367.14x = 550.61 × 161.66
  4. Step 4: Simplify right side
    367.14x = 89,012.18
  5. Step 5: Solve for x
    x = 89,012.18/367.14
  6. Step 6: Final answer
    x = 242.45

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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.