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Finding the Fourth Proportional to 209.72, 288.43 and 168.21

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Solution

The fourth proportional to 209.72, 288.43 and 168.21 is: 231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.72 : 288.43 = 168.21 : x
  2. Step 2: Convert to fraction form
    209.72/288.43 = 168.21/x
  3. Step 3: Cross multiply
    209.72x = 288.43 × 168.21
  4. Step 4: Simplify right side
    209.72x = 48,515.94
  5. Step 5: Solve for x
    x = 48,515.94/209.72
  6. Step 6: Final answer
    x = 231.34

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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.