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Finding the Fourth Proportional to 248.75, 343.24 and 143.85

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Solution

The fourth proportional to 248.75, 343.24 and 143.85 is: 198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.75 : 343.24 = 143.85 : x
  2. Step 2: Convert to fraction form
    248.75/343.24 = 143.85/x
  3. Step 3: Cross multiply
    248.75x = 343.24 × 143.85
  4. Step 4: Simplify right side
    248.75x = 49,375.07
  5. Step 5: Solve for x
    x = 49,375.07/248.75
  6. Step 6: Final answer
    x = 198.49

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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.