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Finding the Fourth Proportional to 199.49, 297.86 and 169.07

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Solution

The fourth proportional to 199.49, 297.86 and 169.07 is: 252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.49 : 297.86 = 169.07 : x
  2. Step 2: Convert to fraction form
    199.49/297.86 = 169.07/x
  3. Step 3: Cross multiply
    199.49x = 297.86 × 169.07
  4. Step 4: Simplify right side
    199.49x = 50,356.86
  5. Step 5: Solve for x
    x = 50,356.86/199.49
  6. Step 6: Final answer
    x = 252.43

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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.