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Finding the Fourth Proportional to 254.67, 351.64 and 166.20

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Solution

The fourth proportional to 254.67, 351.64 and 166.20 is: 229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.67 : 351.64 = 166.20 : x
  2. Step 2: Convert to fraction form
    254.67/351.64 = 166.20/x
  3. Step 3: Cross multiply
    254.67x = 351.64 × 166.20
  4. Step 4: Simplify right side
    254.67x = 58,442.57
  5. Step 5: Solve for x
    x = 58,442.57/254.67
  6. Step 6: Final answer
    x = 229.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.