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Finding the Fourth Proportional to 202.90, 281.29 and 191.95

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Solution

The fourth proportional to 202.90, 281.29 and 191.95 is: 266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.90 : 281.29 = 191.95 : x
  2. Step 2: Convert to fraction form
    202.90/281.29 = 191.95/x
  3. Step 3: Cross multiply
    202.90x = 281.29 × 191.95
  4. Step 4: Simplify right side
    202.90x = 53,993.62
  5. Step 5: Solve for x
    x = 53,993.62/202.90
  6. Step 6: Final answer
    x = 266.11

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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.