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Finding the Fourth Proportional to 190.78, 285.93 and 80.97

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Solution

The fourth proportional to 190.78, 285.93 and 80.97 is: 121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.78 : 285.93 = 80.97 : x
  2. Step 2: Convert to fraction form
    190.78/285.93 = 80.97/x
  3. Step 3: Cross multiply
    190.78x = 285.93 × 80.97
  4. Step 4: Simplify right side
    190.78x = 23,151.75
  5. Step 5: Solve for x
    x = 23,151.75/190.78
  6. Step 6: Final answer
    x = 121.35

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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.