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Finding the Fourth Proportional to 208.86, 312.94 and 163.09

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Solution

The fourth proportional to 208.86, 312.94 and 163.09 is: 244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.86 : 312.94 = 163.09 : x
  2. Step 2: Convert to fraction form
    208.86/312.94 = 163.09/x
  3. Step 3: Cross multiply
    208.86x = 312.94 × 163.09
  4. Step 4: Simplify right side
    208.86x = 51,037.38
  5. Step 5: Solve for x
    x = 51,037.38/208.86
  6. Step 6: Final answer
    x = 244.36

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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.