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Finding the Fourth Proportional to 202.49, 304.14 and 166.85

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Solution

The fourth proportional to 202.49, 304.14 and 166.85 is: 250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.49 : 304.14 = 166.85 : x
  2. Step 2: Convert to fraction form
    202.49/304.14 = 166.85/x
  3. Step 3: Cross multiply
    202.49x = 304.14 × 166.85
  4. Step 4: Simplify right side
    202.49x = 50,745.76
  5. Step 5: Solve for x
    x = 50,745.76/202.49
  6. Step 6: Final answer
    x = 250.61

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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.