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Finding the Fourth Proportional to 725.14, 1,087.87 and 238.17

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Solution

The fourth proportional to 725.14, 1,087.87 and 238.17 is: 357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.14 : 1,087.87 = 238.17 : x
  2. Step 2: Convert to fraction form
    725.14/1,087.87 = 238.17/x
  3. Step 3: Cross multiply
    725.14x = 1,087.87 × 238.17
  4. Step 4: Simplify right side
    725.14x = 259,098.00
  5. Step 5: Solve for x
    x = 259,098.00/725.14
  6. Step 6: Final answer
    x = 357.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.