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Finding the Fourth Proportional to 367.69, 551.08 and 205.49

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Solution

The fourth proportional to 367.69, 551.08 and 205.49 is: 307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.69 : 551.08 = 205.49 : x
  2. Step 2: Convert to fraction form
    367.69/551.08 = 205.49/x
  3. Step 3: Cross multiply
    367.69x = 551.08 × 205.49
  4. Step 4: Simplify right side
    367.69x = 113,239.39
  5. Step 5: Solve for x
    x = 113,239.39/367.69
  6. Step 6: Final answer
    x = 307.98

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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.