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Finding the Fourth Proportional to 192.85, 287.07 and 190.78

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Solution

The fourth proportional to 192.85, 287.07 and 190.78 is: 283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.85 : 287.07 = 190.78 : x
  2. Step 2: Convert to fraction form
    192.85/287.07 = 190.78/x
  3. Step 3: Cross multiply
    192.85x = 287.07 × 190.78
  4. Step 4: Simplify right side
    192.85x = 54,767.21
  5. Step 5: Solve for x
    x = 54,767.21/192.85
  6. Step 6: Final answer
    x = 283.99

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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.