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Finding the Fourth Proportional to 190.73, 284.32 and 188.57

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Solution

The fourth proportional to 190.73, 284.32 and 188.57 is: 281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.73 : 284.32 = 188.57 : x
  2. Step 2: Convert to fraction form
    190.73/284.32 = 188.57/x
  3. Step 3: Cross multiply
    190.73x = 284.32 × 188.57
  4. Step 4: Simplify right side
    190.73x = 53,614.22
  5. Step 5: Solve for x
    x = 53,614.22/190.73
  6. Step 6: Final answer
    x = 281.10

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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.