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Finding the Fourth Proportional to 209.13, 290.10 and 198.20

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Solution

The fourth proportional to 209.13, 290.10 and 198.20 is: 274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.13 : 290.10 = 198.20 : x
  2. Step 2: Convert to fraction form
    209.13/290.10 = 198.20/x
  3. Step 3: Cross multiply
    209.13x = 290.10 × 198.20
  4. Step 4: Simplify right side
    209.13x = 57,496.37
  5. Step 5: Solve for x
    x = 57,496.37/209.13
  6. Step 6: Final answer
    x = 274.93

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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.