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Finding the Fourth Proportional to 208.26, 310.50 and 189

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Solution

The fourth proportional to 208.26, 310.50 and 189 is: 281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.26 : 310.50 = 189 : x
  2. Step 2: Convert to fraction form
    208.26/310.50 = 189/x
  3. Step 3: Cross multiply
    208.26x = 310.50 × 189
  4. Step 4: Simplify right side
    208.26x = 58,684.50
  5. Step 5: Solve for x
    x = 58,684.50/208.26
  6. Step 6: Final answer
    x = 281.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.