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Finding the Fourth Proportional to 208.95, 286.80 and 190.41

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Solution

The fourth proportional to 208.95, 286.80 and 190.41 is: 261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.95 : 286.80 = 190.41 : x
  2. Step 2: Convert to fraction form
    208.95/286.80 = 190.41/x
  3. Step 3: Cross multiply
    208.95x = 286.80 × 190.41
  4. Step 4: Simplify right side
    208.95x = 54,609.59
  5. Step 5: Solve for x
    x = 54,609.59/208.95
  6. Step 6: Final answer
    x = 261.35

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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.