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Finding the Fourth Proportional to 254.25, 350.90 and 143.75

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Solution

The fourth proportional to 254.25, 350.90 and 143.75 is: 198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.25 : 350.90 = 143.75 : x
  2. Step 2: Convert to fraction form
    254.25/350.90 = 143.75/x
  3. Step 3: Cross multiply
    254.25x = 350.90 × 143.75
  4. Step 4: Simplify right side
    254.25x = 50,441.88
  5. Step 5: Solve for x
    x = 50,441.88/254.25
  6. Step 6: Final answer
    x = 198.39

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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.