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Finding the Fourth Proportional to 208.26, 287.39 and 119.74

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Solution

The fourth proportional to 208.26, 287.39 and 119.74 is: 165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.26 : 287.39 = 119.74 : x
  2. Step 2: Convert to fraction form
    208.26/287.39 = 119.74/x
  3. Step 3: Cross multiply
    208.26x = 287.39 × 119.74
  4. Step 4: Simplify right side
    208.26x = 34,410.04
  5. Step 5: Solve for x
    x = 34,410.04/208.26
  6. Step 6: Final answer
    x = 165.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.