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Finding the Fourth Proportional to 299.90, 449.66 and 117.14

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Solution

The fourth proportional to 299.90, 449.66 and 117.14 is: 175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.90 : 449.66 = 117.14 : x
  2. Step 2: Convert to fraction form
    299.90/449.66 = 117.14/x
  3. Step 3: Cross multiply
    299.90x = 449.66 × 117.14
  4. Step 4: Simplify right side
    299.90x = 52,671.22
  5. Step 5: Solve for x
    x = 52,671.22/299.90
  6. Step 6: Final answer
    x = 175.63

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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.