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Finding the Fourth Proportional to 367.43, 551 and 161.89

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Solution

The fourth proportional to 367.43, 551 and 161.89 is: 242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.43 : 551 = 161.89 : x
  2. Step 2: Convert to fraction form
    367.43/551 = 161.89/x
  3. Step 3: Cross multiply
    367.43x = 551 × 161.89
  4. Step 4: Simplify right side
    367.43x = 89,201.39
  5. Step 5: Solve for x
    x = 89,201.39/367.43
  6. Step 6: Final answer
    x = 242.77

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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.