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Finding the Fourth Proportional to 190.94, 284.59 and 189.09

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Solution

The fourth proportional to 190.94, 284.59 and 189.09 is: 281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.94 : 284.59 = 189.09 : x
  2. Step 2: Convert to fraction form
    190.94/284.59 = 189.09/x
  3. Step 3: Cross multiply
    190.94x = 284.59 × 189.09
  4. Step 4: Simplify right side
    190.94x = 53,813.36
  5. Step 5: Solve for x
    x = 53,813.36/190.94
  6. Step 6: Final answer
    x = 281.84

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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.