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Finding the Fourth Proportional to 166.59, 249.80 and 163.51

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Solution

The fourth proportional to 166.59, 249.80 and 163.51 is: 245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.59 : 249.80 = 163.51 : x
  2. Step 2: Convert to fraction form
    166.59/249.80 = 163.51/x
  3. Step 3: Cross multiply
    166.59x = 249.80 × 163.51
  4. Step 4: Simplify right side
    166.59x = 40,844.82
  5. Step 5: Solve for x
    x = 40,844.82/166.59
  6. Step 6: Final answer
    x = 245.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.