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Finding the Fourth Proportional to 208.70, 286.46 and 190.17

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Solution

The fourth proportional to 208.70, 286.46 and 190.17 is: 261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.70 : 286.46 = 190.17 : x
  2. Step 2: Convert to fraction form
    208.70/286.46 = 190.17/x
  3. Step 3: Cross multiply
    208.70x = 286.46 × 190.17
  4. Step 4: Simplify right side
    208.70x = 54,476.10
  5. Step 5: Solve for x
    x = 54,476.10/208.70
  6. Step 6: Final answer
    x = 261.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.