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Finding the Fourth Proportional to 200.09, 298.26 and 192.20

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Solution

The fourth proportional to 200.09, 298.26 and 192.20 is: 286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.09 : 298.26 = 192.20 : x
  2. Step 2: Convert to fraction form
    200.09/298.26 = 192.20/x
  3. Step 3: Cross multiply
    200.09x = 298.26 × 192.20
  4. Step 4: Simplify right side
    200.09x = 57,324.08
  5. Step 5: Solve for x
    x = 57,324.08/200.09
  6. Step 6: Final answer
    x = 286.50

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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.