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Finding the Fourth Proportional to 299.56, 449.14 and 116.98

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Solution

The fourth proportional to 299.56, 449.14 and 116.98 is: 175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.56 : 449.14 = 116.98 : x
  2. Step 2: Convert to fraction form
    299.56/449.14 = 116.98/x
  3. Step 3: Cross multiply
    299.56x = 449.14 × 116.98
  4. Step 4: Simplify right side
    299.56x = 52,540.40
  5. Step 5: Solve for x
    x = 52,540.40/299.56
  6. Step 6: Final answer
    x = 175.39

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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.