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Finding the Fourth Proportional to 208.22, 311.79 and 182.08

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Solution

The fourth proportional to 208.22, 311.79 and 182.08 is: 272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.22 : 311.79 = 182.08 : x
  2. Step 2: Convert to fraction form
    208.22/311.79 = 182.08/x
  3. Step 3: Cross multiply
    208.22x = 311.79 × 182.08
  4. Step 4: Simplify right side
    208.22x = 56,768.25
  5. Step 5: Solve for x
    x = 56,768.25/208.22
  6. Step 6: Final answer
    x = 272.64

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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.