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Finding the Fourth Proportional to 353.44, 487.41 and 229.13

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Solution

The fourth proportional to 353.44, 487.41 and 229.13 is: 315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.44 : 487.41 = 229.13 : x
  2. Step 2: Convert to fraction form
    353.44/487.41 = 229.13/x
  3. Step 3: Cross multiply
    353.44x = 487.41 × 229.13
  4. Step 4: Simplify right side
    353.44x = 111,680.25
  5. Step 5: Solve for x
    x = 111,680.25/353.44
  6. Step 6: Final answer
    x = 315.99

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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.