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Finding the Fourth Proportional to 367.81, 551.69 and 213.64

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Solution

The fourth proportional to 367.81, 551.69 and 213.64 is: 320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.81 : 551.69 = 213.64 : x
  2. Step 2: Convert to fraction form
    367.81/551.69 = 213.64/x
  3. Step 3: Cross multiply
    367.81x = 551.69 × 213.64
  4. Step 4: Simplify right side
    367.81x = 117,863.05
  5. Step 5: Solve for x
    x = 117,863.05/367.81
  6. Step 6: Final answer
    x = 320.45

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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.