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Finding the Fourth Proportional to 209.98, 290.25 and 161.08

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Solution

The fourth proportional to 209.98, 290.25 and 161.08 is: 222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.98 : 290.25 = 161.08 : x
  2. Step 2: Convert to fraction form
    209.98/290.25 = 161.08/x
  3. Step 3: Cross multiply
    209.98x = 290.25 × 161.08
  4. Step 4: Simplify right side
    209.98x = 46,753.47
  5. Step 5: Solve for x
    x = 46,753.47/209.98
  6. Step 6: Final answer
    x = 222.66

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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.