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Finding the Fourth Proportional to 248.82, 343.40 and 143.92

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Solution

The fourth proportional to 248.82, 343.40 and 143.92 is: 198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.82 : 343.40 = 143.92 : x
  2. Step 2: Convert to fraction form
    248.82/343.40 = 143.92/x
  3. Step 3: Cross multiply
    248.82x = 343.40 × 143.92
  4. Step 4: Simplify right side
    248.82x = 49,422.13
  5. Step 5: Solve for x
    x = 49,422.13/248.82
  6. Step 6: Final answer
    x = 198.63

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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.