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Finding the Fourth Proportional to 217.69, 301.12 and 207.97

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Solution

The fourth proportional to 217.69, 301.12 and 207.97 is: 287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.69 : 301.12 = 207.97 : x
  2. Step 2: Convert to fraction form
    217.69/301.12 = 207.97/x
  3. Step 3: Cross multiply
    217.69x = 301.12 × 207.97
  4. Step 4: Simplify right side
    217.69x = 62,622.65
  5. Step 5: Solve for x
    x = 62,622.65/217.69
  6. Step 6: Final answer
    x = 287.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.