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Finding the Fourth Proportional to 262.74, 363.02 and 203.97

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Solution

The fourth proportional to 262.74, 363.02 and 203.97 is: 281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.74 : 363.02 = 203.97 : x
  2. Step 2: Convert to fraction form
    262.74/363.02 = 203.97/x
  3. Step 3: Cross multiply
    262.74x = 363.02 × 203.97
  4. Step 4: Simplify right side
    262.74x = 74,044.17
  5. Step 5: Solve for x
    x = 74,044.17/262.74
  6. Step 6: Final answer
    x = 281.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.