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Finding the Fourth Proportional to 166.60, 251.11 and 164.20

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Solution

The fourth proportional to 166.60, 251.11 and 164.20 is: 247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.60 : 251.11 = 164.20 : x
  2. Step 2: Convert to fraction form
    166.60/251.11 = 164.20/x
  3. Step 3: Cross multiply
    166.60x = 251.11 × 164.20
  4. Step 4: Simplify right side
    166.60x = 41,232.26
  5. Step 5: Solve for x
    x = 41,232.26/166.60
  6. Step 6: Final answer
    x = 247.49

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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.