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Finding the Fourth Proportional to 249.94, 344.98 and 162.46

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Solution

The fourth proportional to 249.94, 344.98 and 162.46 is: 224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.94 : 344.98 = 162.46 : x
  2. Step 2: Convert to fraction form
    249.94/344.98 = 162.46/x
  3. Step 3: Cross multiply
    249.94x = 344.98 × 162.46
  4. Step 4: Simplify right side
    249.94x = 56,046.09
  5. Step 5: Solve for x
    x = 56,046.09/249.94
  6. Step 6: Final answer
    x = 224.24

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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.