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Finding the Fourth Proportional to 166.80, 251.21 and 150.76

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Solution

The fourth proportional to 166.80, 251.21 and 150.76 is: 227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.80 : 251.21 = 150.76 : x
  2. Step 2: Convert to fraction form
    166.80/251.21 = 150.76/x
  3. Step 3: Cross multiply
    166.80x = 251.21 × 150.76
  4. Step 4: Simplify right side
    166.80x = 37,872.42
  5. Step 5: Solve for x
    x = 37,872.42/166.80
  6. Step 6: Final answer
    x = 227.05

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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.