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Finding the Fourth Proportional to 200.56, 298.87 and 194.04

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Solution

The fourth proportional to 200.56, 298.87 and 194.04 is: 289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.56 : 298.87 = 194.04 : x
  2. Step 2: Convert to fraction form
    200.56/298.87 = 194.04/x
  3. Step 3: Cross multiply
    200.56x = 298.87 × 194.04
  4. Step 4: Simplify right side
    200.56x = 57,992.73
  5. Step 5: Solve for x
    x = 57,992.73/200.56
  6. Step 6: Final answer
    x = 289.15

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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.