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Finding the Fourth Proportional to 208.92, 290.31 and 206.67

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Solution

The fourth proportional to 208.92, 290.31 and 206.67 is: 287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.92 : 290.31 = 206.67 : x
  2. Step 2: Convert to fraction form
    208.92/290.31 = 206.67/x
  3. Step 3: Cross multiply
    208.92x = 290.31 × 206.67
  4. Step 4: Simplify right side
    208.92x = 59,998.37
  5. Step 5: Solve for x
    x = 59,998.37/208.92
  6. Step 6: Final answer
    x = 287.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.