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Finding the Fourth Proportional to 190.76, 284.85 and 188.80

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Solution

The fourth proportional to 190.76, 284.85 and 188.80 is: 281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.76 : 284.85 = 188.80 : x
  2. Step 2: Convert to fraction form
    190.76/284.85 = 188.80/x
  3. Step 3: Cross multiply
    190.76x = 284.85 × 188.80
  4. Step 4: Simplify right side
    190.76x = 53,778.97
  5. Step 5: Solve for x
    x = 53,778.97/190.76
  6. Step 6: Final answer
    x = 281.93

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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.