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Finding the Fourth Proportional to 208.86, 312.96 and 122

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Solution

The fourth proportional to 208.86, 312.96 and 122 is: 182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.86 : 312.96 = 122 : x
  2. Step 2: Convert to fraction form
    208.86/312.96 = 122/x
  3. Step 3: Cross multiply
    208.86x = 312.96 × 122
  4. Step 4: Simplify right side
    208.86x = 38,181.12
  5. Step 5: Solve for x
    x = 38,181.12/208.86
  6. Step 6: Final answer
    x = 182.81

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Why These Related Problems?

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