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Finding the Fourth Proportional to 262.87, 363.42 and 251.39

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Solution

The fourth proportional to 262.87, 363.42 and 251.39 is: 347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.87 : 363.42 = 251.39 : x
  2. Step 2: Convert to fraction form
    262.87/363.42 = 251.39/x
  3. Step 3: Cross multiply
    262.87x = 363.42 × 251.39
  4. Step 4: Simplify right side
    262.87x = 91,360.15
  5. Step 5: Solve for x
    x = 91,360.15/262.87
  6. Step 6: Final answer
    x = 347.56

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Why These Related Problems?

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