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Finding the Fourth Proportional to 199.67, 297.97 and 195.03

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Solution

The fourth proportional to 199.67, 297.97 and 195.03 is: 291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.67 : 297.97 = 195.03 : x
  2. Step 2: Convert to fraction form
    199.67/297.97 = 195.03/x
  3. Step 3: Cross multiply
    199.67x = 297.97 × 195.03
  4. Step 4: Simplify right side
    199.67x = 58,112.60
  5. Step 5: Solve for x
    x = 58,112.60/199.67
  6. Step 6: Final answer
    x = 291.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.