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Finding the Fourth Proportional to 200.16, 298.44 and 163.80

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Solution

The fourth proportional to 200.16, 298.44 and 163.80 is: 244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.16 : 298.44 = 163.80 : x
  2. Step 2: Convert to fraction form
    200.16/298.44 = 163.80/x
  3. Step 3: Cross multiply
    200.16x = 298.44 × 163.80
  4. Step 4: Simplify right side
    200.16x = 48,884.47
  5. Step 5: Solve for x
    x = 48,884.47/200.16
  6. Step 6: Final answer
    x = 244.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.