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Finding the Fourth Proportional to 199.09, 298.59 and 77.32

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Solution

The fourth proportional to 199.09, 298.59 and 77.32 is: 115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.09 : 298.59 = 77.32 : x
  2. Step 2: Convert to fraction form
    199.09/298.59 = 77.32/x
  3. Step 3: Cross multiply
    199.09x = 298.59 × 77.32
  4. Step 4: Simplify right side
    199.09x = 23,087.06
  5. Step 5: Solve for x
    x = 23,087.06/199.09
  6. Step 6: Final answer
    x = 115.96

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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.