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Finding the Fourth Proportional to 725.18, 1,087.89 and 238.22

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Solution

The fourth proportional to 725.18, 1,087.89 and 238.22 is: 357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.18 : 1,087.89 = 238.22 : x
  2. Step 2: Convert to fraction form
    725.18/1,087.89 = 238.22/x
  3. Step 3: Cross multiply
    725.18x = 1,087.89 × 238.22
  4. Step 4: Simplify right side
    725.18x = 259,157.16
  5. Step 5: Solve for x
    x = 259,157.16/725.18
  6. Step 6: Final answer
    x = 357.37

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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.