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Finding the Fourth Proportional to 166.37, 249.28 and 105.30

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Solution

The fourth proportional to 166.37, 249.28 and 105.30 is: 157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.37 : 249.28 = 105.30 : x
  2. Step 2: Convert to fraction form
    166.37/249.28 = 105.30/x
  3. Step 3: Cross multiply
    166.37x = 249.28 × 105.30
  4. Step 4: Simplify right side
    166.37x = 26,248.92
  5. Step 5: Solve for x
    x = 26,248.92/166.37
  6. Step 6: Final answer
    x = 157.78

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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.