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Finding the Fourth Proportional to 202.89, 281.30 and 191.95

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Solution

The fourth proportional to 202.89, 281.30 and 191.95 is: 266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.89 : 281.30 = 191.95 : x
  2. Step 2: Convert to fraction form
    202.89/281.30 = 191.95/x
  3. Step 3: Cross multiply
    202.89x = 281.30 × 191.95
  4. Step 4: Simplify right side
    202.89x = 53,995.54
  5. Step 5: Solve for x
    x = 53,995.54/202.89
  6. Step 6: Final answer
    x = 266.13

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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.