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Finding the Fourth Proportional to 367.78, 551.88 and 270.49

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Solution

The fourth proportional to 367.78, 551.88 and 270.49 is: 405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.78 : 551.88 = 270.49 : x
  2. Step 2: Convert to fraction form
    367.78/551.88 = 270.49/x
  3. Step 3: Cross multiply
    367.78x = 551.88 × 270.49
  4. Step 4: Simplify right side
    367.78x = 149,278.02
  5. Step 5: Solve for x
    x = 149,278.02/367.78
  6. Step 6: Final answer
    x = 405.89

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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.