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Finding the Fourth Proportional to 199.57, 298.16 and 192.75

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Solution

The fourth proportional to 199.57, 298.16 and 192.75 is: 287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.57 : 298.16 = 192.75 : x
  2. Step 2: Convert to fraction form
    199.57/298.16 = 192.75/x
  3. Step 3: Cross multiply
    199.57x = 298.16 × 192.75
  4. Step 4: Simplify right side
    199.57x = 57,470.34
  5. Step 5: Solve for x
    x = 57,470.34/199.57
  6. Step 6: Final answer
    x = 287.97

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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.