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Finding the Fourth Proportional to 247.69, 371.67 and 166.56

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Solution

The fourth proportional to 247.69, 371.67 and 166.56 is: 249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.69 : 371.67 = 166.56 : x
  2. Step 2: Convert to fraction form
    247.69/371.67 = 166.56/x
  3. Step 3: Cross multiply
    247.69x = 371.67 × 166.56
  4. Step 4: Simplify right side
    247.69x = 61,905.36
  5. Step 5: Solve for x
    x = 61,905.36/247.69
  6. Step 6: Final answer
    x = 249.93

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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.