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Finding the Fourth Proportional to 166.44, 250.89 and 149.70

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Solution

The fourth proportional to 166.44, 250.89 and 149.70 is: 225.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.44 : 250.89 = 149.70 : x
  2. Step 2: Convert to fraction form
    166.44/250.89 = 149.70/x
  3. Step 3: Cross multiply
    166.44x = 250.89 × 149.70
  4. Step 4: Simplify right side
    166.44x = 37,558.23
  5. Step 5: Solve for x
    x = 37,558.23/166.44
  6. Step 6: Final answer
    x = 225.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.