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Finding the Fourth Proportional to 367.77, 551.09 and 213.31

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Solution

The fourth proportional to 367.77, 551.09 and 213.31 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.77 : 551.09 = 213.31 : x
  2. Step 2: Convert to fraction form
    367.77/551.09 = 213.31/x
  3. Step 3: Cross multiply
    367.77x = 551.09 × 213.31
  4. Step 4: Simplify right side
    367.77x = 117,554.58
  5. Step 5: Solve for x
    x = 117,554.58/367.77
  6. Step 6: Final answer
    x = 319.64

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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.