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Finding the Fourth Proportional to 166.97, 249.16 and 146.72

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Solution

The fourth proportional to 166.97, 249.16 and 146.72 is: 218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.97 : 249.16 = 146.72 : x
  2. Step 2: Convert to fraction form
    166.97/249.16 = 146.72/x
  3. Step 3: Cross multiply
    166.97x = 249.16 × 146.72
  4. Step 4: Simplify right side
    166.97x = 36,556.06
  5. Step 5: Solve for x
    x = 36,556.06/166.97
  6. Step 6: Final answer
    x = 218.94

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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.