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Finding the Fourth Proportional to 248.91, 344.13 and 205.98

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Solution

The fourth proportional to 248.91, 344.13 and 205.98 is: 284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.91 : 344.13 = 205.98 : x
  2. Step 2: Convert to fraction form
    248.91/344.13 = 205.98/x
  3. Step 3: Cross multiply
    248.91x = 344.13 × 205.98
  4. Step 4: Simplify right side
    248.91x = 70,883.90
  5. Step 5: Solve for x
    x = 70,883.90/248.91
  6. Step 6: Final answer
    x = 284.78

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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.