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Finding the Fourth Proportional to 299.19, 412.86 and 166.41

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Solution

The fourth proportional to 299.19, 412.86 and 166.41 is: 229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.19 : 412.86 = 166.41 : x
  2. Step 2: Convert to fraction form
    299.19/412.86 = 166.41/x
  3. Step 3: Cross multiply
    299.19x = 412.86 × 166.41
  4. Step 4: Simplify right side
    299.19x = 68,704.03
  5. Step 5: Solve for x
    x = 68,704.03/299.19
  6. Step 6: Final answer
    x = 229.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.