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Finding the Fourth Proportional to 199.13, 298.82 and 89.43

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Solution

The fourth proportional to 199.13, 298.82 and 89.43 is: 134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.13 : 298.82 = 89.43 : x
  2. Step 2: Convert to fraction form
    199.13/298.82 = 89.43/x
  3. Step 3: Cross multiply
    199.13x = 298.82 × 89.43
  4. Step 4: Simplify right side
    199.13x = 26,723.03
  5. Step 5: Solve for x
    x = 26,723.03/199.13
  6. Step 6: Final answer
    x = 134.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.