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Finding the Fourth Proportional to 192.41, 287.28 and 190.56

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Solution

The fourth proportional to 192.41, 287.28 and 190.56 is: 284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.41 : 287.28 = 190.56 : x
  2. Step 2: Convert to fraction form
    192.41/287.28 = 190.56/x
  3. Step 3: Cross multiply
    192.41x = 287.28 × 190.56
  4. Step 4: Simplify right side
    192.41x = 54,744.08
  5. Step 5: Solve for x
    x = 54,744.08/192.41
  6. Step 6: Final answer
    x = 284.53

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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.