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Finding the Fourth Proportional to 299.98, 449.99 and 104.96

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Solution

The fourth proportional to 299.98, 449.99 and 104.96 is: 157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.98 : 449.99 = 104.96 : x
  2. Step 2: Convert to fraction form
    299.98/449.99 = 104.96/x
  3. Step 3: Cross multiply
    299.98x = 449.99 × 104.96
  4. Step 4: Simplify right side
    299.98x = 47,231.34
  5. Step 5: Solve for x
    x = 47,231.34/299.98
  6. Step 6: Final answer
    x = 157.45

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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.