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Finding the Fourth Proportional to 367.49, 551.28 and 136.49

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Solution

The fourth proportional to 367.49, 551.28 and 136.49 is: 204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.49 : 551.28 = 136.49 : x
  2. Step 2: Convert to fraction form
    367.49/551.28 = 136.49/x
  3. Step 3: Cross multiply
    367.49x = 551.28 × 136.49
  4. Step 4: Simplify right side
    367.49x = 75,244.21
  5. Step 5: Solve for x
    x = 75,244.21/367.49
  6. Step 6: Final answer
    x = 204.75

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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.