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Finding the Fourth Proportional to 367.82, 551.58 and 120.96

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Solution

The fourth proportional to 367.82, 551.58 and 120.96 is: 181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.82 : 551.58 = 120.96 : x
  2. Step 2: Convert to fraction form
    367.82/551.58 = 120.96/x
  3. Step 3: Cross multiply
    367.82x = 551.58 × 120.96
  4. Step 4: Simplify right side
    367.82x = 66,719.12
  5. Step 5: Solve for x
    x = 66,719.12/367.82
  6. Step 6: Final answer
    x = 181.39

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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.