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Finding the Fourth Proportional to 250.10, 344.77 and 194.73

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Solution

The fourth proportional to 250.10, 344.77 and 194.73 is: 268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.10 : 344.77 = 194.73 : x
  2. Step 2: Convert to fraction form
    250.10/344.77 = 194.73/x
  3. Step 3: Cross multiply
    250.10x = 344.77 × 194.73
  4. Step 4: Simplify right side
    250.10x = 67,137.06
  5. Step 5: Solve for x
    x = 67,137.06/250.10
  6. Step 6: Final answer
    x = 268.44

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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.