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Finding the Fourth Proportional to 299.82, 450.02 and 163

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Solution

The fourth proportional to 299.82, 450.02 and 163 is: 244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.82 : 450.02 = 163 : x
  2. Step 2: Convert to fraction form
    299.82/450.02 = 163/x
  3. Step 3: Cross multiply
    299.82x = 450.02 × 163
  4. Step 4: Simplify right side
    299.82x = 73,353.26
  5. Step 5: Solve for x
    x = 73,353.26/299.82
  6. Step 6: Final answer
    x = 244.66

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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.