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Finding the Fourth Proportional to 166.66, 251.36 and 164.84

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Solution

The fourth proportional to 166.66, 251.36 and 164.84 is: 248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.66 : 251.36 = 164.84 : x
  2. Step 2: Convert to fraction form
    166.66/251.36 = 164.84/x
  3. Step 3: Cross multiply
    166.66x = 251.36 × 164.84
  4. Step 4: Simplify right side
    166.66x = 41,433.36
  5. Step 5: Solve for x
    x = 41,433.36/166.66
  6. Step 6: Final answer
    x = 248.61

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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.