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Finding the Fourth Proportional to 383.72, 576.22 and 367.08

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Solution

The fourth proportional to 383.72, 576.22 and 367.08 is: 551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.72 : 576.22 = 367.08 : x
  2. Step 2: Convert to fraction form
    383.72/576.22 = 367.08/x
  3. Step 3: Cross multiply
    383.72x = 576.22 × 367.08
  4. Step 4: Simplify right side
    383.72x = 211,518.84
  5. Step 5: Solve for x
    x = 211,518.84/383.72
  6. Step 6: Final answer
    x = 551.23

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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.