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Finding the Fourth Proportional to 190.14, 283.79 and 163.99

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Solution

The fourth proportional to 190.14, 283.79 and 163.99 is: 244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.14 : 283.79 = 163.99 : x
  2. Step 2: Convert to fraction form
    190.14/283.79 = 163.99/x
  3. Step 3: Cross multiply
    190.14x = 283.79 × 163.99
  4. Step 4: Simplify right side
    190.14x = 46,537.90
  5. Step 5: Solve for x
    x = 46,537.90/190.14
  6. Step 6: Final answer
    x = 244.76

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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.