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Finding the Fourth Proportional to 422.49, 582.99 and 245.41

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Solution

The fourth proportional to 422.49, 582.99 and 245.41 is: 338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.49 : 582.99 = 245.41 : x
  2. Step 2: Convert to fraction form
    422.49/582.99 = 245.41/x
  3. Step 3: Cross multiply
    422.49x = 582.99 × 245.41
  4. Step 4: Simplify right side
    422.49x = 143,074.08
  5. Step 5: Solve for x
    x = 143,074.08/422.49
  6. Step 6: Final answer
    x = 338.64

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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.