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Finding the Fourth Proportional to 249.50, 344.22 and 184.16

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Solution

The fourth proportional to 249.50, 344.22 and 184.16 is: 254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.50 : 344.22 = 184.16 : x
  2. Step 2: Convert to fraction form
    249.50/344.22 = 184.16/x
  3. Step 3: Cross multiply
    249.50x = 344.22 × 184.16
  4. Step 4: Simplify right side
    249.50x = 63,391.56
  5. Step 5: Solve for x
    x = 63,391.56/249.50
  6. Step 6: Final answer
    x = 254.07

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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.