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Finding the Fourth Proportional to 166.34, 247.54 and 161.48

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Solution

The fourth proportional to 166.34, 247.54 and 161.48 is: 240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.34 : 247.54 = 161.48 : x
  2. Step 2: Convert to fraction form
    166.34/247.54 = 161.48/x
  3. Step 3: Cross multiply
    166.34x = 247.54 × 161.48
  4. Step 4: Simplify right side
    166.34x = 39,972.76
  5. Step 5: Solve for x
    x = 39,972.76/166.34
  6. Step 6: Final answer
    x = 240.31

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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.