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Finding the Fourth Proportional to 209.97, 314.40 and 161.16

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Solution

The fourth proportional to 209.97, 314.40 and 161.16 is: 241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.97 : 314.40 = 161.16 : x
  2. Step 2: Convert to fraction form
    209.97/314.40 = 161.16/x
  3. Step 3: Cross multiply
    209.97x = 314.40 × 161.16
  4. Step 4: Simplify right side
    209.97x = 50,668.70
  5. Step 5: Solve for x
    x = 50,668.70/209.97
  6. Step 6: Final answer
    x = 241.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.