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Finding the Fourth Proportional to 422.82, 581.46 and 367.62

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Solution

The fourth proportional to 422.82, 581.46 and 367.62 is: 505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.82 : 581.46 = 367.62 : x
  2. Step 2: Convert to fraction form
    422.82/581.46 = 367.62/x
  3. Step 3: Cross multiply
    422.82x = 581.46 × 367.62
  4. Step 4: Simplify right side
    422.82x = 213,756.33
  5. Step 5: Solve for x
    x = 213,756.33/422.82
  6. Step 6: Final answer
    x = 505.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.