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Finding the Fourth Proportional to 248.87, 343.46 and 143.96

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Solution

The fourth proportional to 248.87, 343.46 and 143.96 is: 198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.87 : 343.46 = 143.96 : x
  2. Step 2: Convert to fraction form
    248.87/343.46 = 143.96/x
  3. Step 3: Cross multiply
    248.87x = 343.46 × 143.96
  4. Step 4: Simplify right side
    248.87x = 49,444.50
  5. Step 5: Solve for x
    x = 49,444.50/248.87
  6. Step 6: Final answer
    x = 198.68

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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.