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Finding the Fourth Proportional to 208.25, 287.39 and 116.25

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Solution

The fourth proportional to 208.25, 287.39 and 116.25 is: 160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.25 : 287.39 = 116.25 : x
  2. Step 2: Convert to fraction form
    208.25/287.39 = 116.25/x
  3. Step 3: Cross multiply
    208.25x = 287.39 × 116.25
  4. Step 4: Simplify right side
    208.25x = 33,408.51
  5. Step 5: Solve for x
    x = 33,408.51/208.25
  6. Step 6: Final answer
    x = 160.43

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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.