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Finding the Fourth Proportional to 299.66, 449.40 and 117.11

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Solution

The fourth proportional to 299.66, 449.40 and 117.11 is: 175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.66 : 449.40 = 117.11 : x
  2. Step 2: Convert to fraction form
    299.66/449.40 = 117.11/x
  3. Step 3: Cross multiply
    299.66x = 449.40 × 117.11
  4. Step 4: Simplify right side
    299.66x = 52,630.36
  5. Step 5: Solve for x
    x = 52,630.36/299.66
  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.