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Finding the Fourth Proportional to 208.65, 286.14 and 206.25

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Solution

The fourth proportional to 208.65, 286.14 and 206.25 is: 282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.65 : 286.14 = 206.25 : x
  2. Step 2: Convert to fraction form
    208.65/286.14 = 206.25/x
  3. Step 3: Cross multiply
    208.65x = 286.14 × 206.25
  4. Step 4: Simplify right side
    208.65x = 59,016.38
  5. Step 5: Solve for x
    x = 59,016.38/208.65
  6. Step 6: Final answer
    x = 282.85

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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.