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Finding the Fourth Proportional to 199.11, 297.08 and 169.89

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Solution

The fourth proportional to 199.11, 297.08 and 169.89 is: 253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.11 : 297.08 = 169.89 : x
  2. Step 2: Convert to fraction form
    199.11/297.08 = 169.89/x
  3. Step 3: Cross multiply
    199.11x = 297.08 × 169.89
  4. Step 4: Simplify right side
    199.11x = 50,470.92
  5. Step 5: Solve for x
    x = 50,470.92/199.11
  6. Step 6: Final answer
    x = 253.48

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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.