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Finding the Fourth Proportional to 208.26, 310.68 and 193.53

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Solution

The fourth proportional to 208.26, 310.68 and 193.53 is: 288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.26 : 310.68 = 193.53 : x
  2. Step 2: Convert to fraction form
    208.26/310.68 = 193.53/x
  3. Step 3: Cross multiply
    208.26x = 310.68 × 193.53
  4. Step 4: Simplify right side
    208.26x = 60,125.90
  5. Step 5: Solve for x
    x = 60,125.90/208.26
  6. Step 6: Final answer
    x = 288.71

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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.