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Finding the Fourth Proportional to 166.07, 247.85 and 161.75

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Solution

The fourth proportional to 166.07, 247.85 and 161.75 is: 241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.07 : 247.85 = 161.75 : x
  2. Step 2: Convert to fraction form
    166.07/247.85 = 161.75/x
  3. Step 3: Cross multiply
    166.07x = 247.85 × 161.75
  4. Step 4: Simplify right side
    166.07x = 40,087.69
  5. Step 5: Solve for x
    x = 40,087.69/166.07
  6. Step 6: Final answer
    x = 241.40

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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.