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Finding the Fourth Proportional to 202.12, 301.73 and 194.02

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Solution

The fourth proportional to 202.12, 301.73 and 194.02 is: 289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.12 : 301.73 = 194.02 : x
  2. Step 2: Convert to fraction form
    202.12/301.73 = 194.02/x
  3. Step 3: Cross multiply
    202.12x = 301.73 × 194.02
  4. Step 4: Simplify right side
    202.12x = 58,540.68
  5. Step 5: Solve for x
    x = 58,540.68/202.12
  6. Step 6: Final answer
    x = 289.63

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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.