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Finding the Fourth Proportional to 249.30, 344.16 and 160.83

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Solution

The fourth proportional to 249.30, 344.16 and 160.83 is: 222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.30 : 344.16 = 160.83 : x
  2. Step 2: Convert to fraction form
    249.30/344.16 = 160.83/x
  3. Step 3: Cross multiply
    249.30x = 344.16 × 160.83
  4. Step 4: Simplify right side
    249.30x = 55,351.25
  5. Step 5: Solve for x
    x = 55,351.25/249.30
  6. Step 6: Final answer
    x = 222.03

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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.