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Finding the Fourth Proportional to 200.09, 298.08 and 192.74

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Solution

The fourth proportional to 200.09, 298.08 and 192.74 is: 287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.09 : 298.08 = 192.74 : x
  2. Step 2: Convert to fraction form
    200.09/298.08 = 192.74/x
  3. Step 3: Cross multiply
    200.09x = 298.08 × 192.74
  4. Step 4: Simplify right side
    200.09x = 57,451.29
  5. Step 5: Solve for x
    x = 57,451.29/200.09
  6. Step 6: Final answer
    x = 287.13

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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.