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Finding the Fourth Proportional to 300.81, 415.12 and 166.22

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Solution

The fourth proportional to 300.81, 415.12 and 166.22 is: 229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.81 : 415.12 = 166.22 : x
  2. Step 2: Convert to fraction form
    300.81/415.12 = 166.22/x
  3. Step 3: Cross multiply
    300.81x = 415.12 × 166.22
  4. Step 4: Simplify right side
    300.81x = 68,999.79
  5. Step 5: Solve for x
    x = 68,999.79/300.81
  6. Step 6: Final answer
    x = 229.38

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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.