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Finding the Fourth Proportional to 199.40, 299.09 and 77.74

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Solution

The fourth proportional to 199.40, 299.09 and 77.74 is: 116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.40 : 299.09 = 77.74 : x
  2. Step 2: Convert to fraction form
    199.40/299.09 = 77.74/x
  3. Step 3: Cross multiply
    199.40x = 299.09 × 77.74
  4. Step 4: Simplify right side
    199.40x = 23,251.53
  5. Step 5: Solve for x
    x = 23,251.53/199.40
  6. Step 6: Final answer
    x = 116.61

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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.