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Finding the Fourth Proportional to 322.64, 445.41 and 244.88

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Solution

The fourth proportional to 322.64, 445.41 and 244.88 is: 338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.64 : 445.41 = 244.88 : x
  2. Step 2: Convert to fraction form
    322.64/445.41 = 244.88/x
  3. Step 3: Cross multiply
    322.64x = 445.41 × 244.88
  4. Step 4: Simplify right side
    322.64x = 109,072.00
  5. Step 5: Solve for x
    x = 109,072.00/322.64
  6. Step 6: Final answer
    x = 338.06

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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.