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Finding the Fourth Proportional to 190.23, 285.38 and 80.48

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Solution

The fourth proportional to 190.23, 285.38 and 80.48 is: 120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.23 : 285.38 = 80.48 : x
  2. Step 2: Convert to fraction form
    190.23/285.38 = 80.48/x
  3. Step 3: Cross multiply
    190.23x = 285.38 × 80.48
  4. Step 4: Simplify right side
    190.23x = 22,967.38
  5. Step 5: Solve for x
    x = 22,967.38/190.23
  6. Step 6: Final answer
    x = 120.73

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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.