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Finding the Fourth Proportional to 166.19, 248.03 and 161.87

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Solution

The fourth proportional to 166.19, 248.03 and 161.87 is: 241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.19 : 248.03 = 161.87 : x
  2. Step 2: Convert to fraction form
    166.19/248.03 = 161.87/x
  3. Step 3: Cross multiply
    166.19x = 248.03 × 161.87
  4. Step 4: Simplify right side
    166.19x = 40,148.62
  5. Step 5: Solve for x
    x = 40,148.62/166.19
  6. Step 6: Final answer
    x = 241.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.