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Finding the Fourth Proportional to 254.73, 350.18 and 219.15

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Solution

The fourth proportional to 254.73, 350.18 and 219.15 is: 301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.73 : 350.18 = 219.15 : x
  2. Step 2: Convert to fraction form
    254.73/350.18 = 219.15/x
  3. Step 3: Cross multiply
    254.73x = 350.18 × 219.15
  4. Step 4: Simplify right side
    254.73x = 76,740.85
  5. Step 5: Solve for x
    x = 76,740.85/254.73
  6. Step 6: Final answer
    x = 301.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.