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Finding the Fourth Proportional to 217.01, 297.74 and 198.65

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Solution

The fourth proportional to 217.01, 297.74 and 198.65 is: 272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.01 : 297.74 = 198.65 : x
  2. Step 2: Convert to fraction form
    217.01/297.74 = 198.65/x
  3. Step 3: Cross multiply
    217.01x = 297.74 × 198.65
  4. Step 4: Simplify right side
    217.01x = 59,147.29
  5. Step 5: Solve for x
    x = 59,147.29/217.01
  6. Step 6: Final answer
    x = 272.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.