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Finding the Fourth Proportional to 166.87, 250.02 and 149.96

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Solution

The fourth proportional to 166.87, 250.02 and 149.96 is: 224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.87 : 250.02 = 149.96 : x
  2. Step 2: Convert to fraction form
    166.87/250.02 = 149.96/x
  3. Step 3: Cross multiply
    166.87x = 250.02 × 149.96
  4. Step 4: Simplify right side
    166.87x = 37,492.25
  5. Step 5: Solve for x
    x = 37,492.25/166.87
  6. Step 6: Final answer
    x = 224.68

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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.