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Finding the Fourth Proportional to 202.94, 281.90 and 197.18

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Solution

The fourth proportional to 202.94, 281.90 and 197.18 is: 273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.94 : 281.90 = 197.18 : x
  2. Step 2: Convert to fraction form
    202.94/281.90 = 197.18/x
  3. Step 3: Cross multiply
    202.94x = 281.90 × 197.18
  4. Step 4: Simplify right side
    202.94x = 55,585.04
  5. Step 5: Solve for x
    x = 55,585.04/202.94
  6. Step 6: Final answer
    x = 273.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.