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Finding the Fourth Proportional to 166.37, 251.00 and 165.92

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Solution

The fourth proportional to 166.37, 251.00 and 165.92 is: 250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.37 : 251.00 = 165.92 : x
  2. Step 2: Convert to fraction form
    166.37/251.00 = 165.92/x
  3. Step 3: Cross multiply
    166.37x = 251.00 × 165.92
  4. Step 4: Simplify right side
    166.37x = 41,644.46
  5. Step 5: Solve for x
    x = 41,644.46/166.37
  6. Step 6: Final answer
    x = 250.32

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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.