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Finding the Fourth Proportional to 449.28, 622.62 and 362.88

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Solution

The fourth proportional to 449.28, 622.62 and 362.88 is: 502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.28 : 622.62 = 362.88 : x
  2. Step 2: Convert to fraction form
    449.28/622.62 = 362.88/x
  3. Step 3: Cross multiply
    449.28x = 622.62 × 362.88
  4. Step 4: Simplify right side
    449.28x = 225,936.35
  5. Step 5: Solve for x
    x = 225,936.35/449.28
  6. Step 6: Final answer
    x = 502.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.