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Finding the Fourth Proportional to 208.65, 286.74 and 199.14

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Solution

The fourth proportional to 208.65, 286.74 and 199.14 is: 273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.65 : 286.74 = 199.14 : x
  2. Step 2: Convert to fraction form
    208.65/286.74 = 199.14/x
  3. Step 3: Cross multiply
    208.65x = 286.74 × 199.14
  4. Step 4: Simplify right side
    208.65x = 57,101.40
  5. Step 5: Solve for x
    x = 57,101.40/208.65
  6. Step 6: Final answer
    x = 273.67

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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.