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Finding the Fourth Proportional to 190.96, 284.72 and 188.93

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Solution

The fourth proportional to 190.96, 284.72 and 188.93 is: 281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.96 : 284.72 = 188.93 : x
  2. Step 2: Convert to fraction form
    190.96/284.72 = 188.93/x
  3. Step 3: Cross multiply
    190.96x = 284.72 × 188.93
  4. Step 4: Simplify right side
    190.96x = 53,791.92
  5. Step 5: Solve for x
    x = 53,791.92/190.96
  6. Step 6: Final answer
    x = 281.70

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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.