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Finding the Fourth Proportional to 166.65, 230.31 and 161.34

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Solution

The fourth proportional to 166.65, 230.31 and 161.34 is: 222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.65 : 230.31 = 161.34 : x
  2. Step 2: Convert to fraction form
    166.65/230.31 = 161.34/x
  3. Step 3: Cross multiply
    166.65x = 230.31 × 161.34
  4. Step 4: Simplify right side
    166.65x = 37,158.22
  5. Step 5: Solve for x
    x = 37,158.22/166.65
  6. Step 6: Final answer
    x = 222.97

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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.