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Finding the Fourth Proportional to 190.98, 284.13 and 189.27

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Solution

The fourth proportional to 190.98, 284.13 and 189.27 is: 281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.98 : 284.13 = 189.27 : x
  2. Step 2: Convert to fraction form
    190.98/284.13 = 189.27/x
  3. Step 3: Cross multiply
    190.98x = 284.13 × 189.27
  4. Step 4: Simplify right side
    190.98x = 53,777.29
  5. Step 5: Solve for x
    x = 53,777.29/190.98
  6. Step 6: Final answer
    x = 281.59

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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.