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Finding the Fourth Proportional to 199.92, 298.16 and 195.27

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Solution

The fourth proportional to 199.92, 298.16 and 195.27 is: 291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.92 : 298.16 = 195.27 : x
  2. Step 2: Convert to fraction form
    199.92/298.16 = 195.27/x
  3. Step 3: Cross multiply
    199.92x = 298.16 × 195.27
  4. Step 4: Simplify right side
    199.92x = 58,220.34
  5. Step 5: Solve for x
    x = 58,220.34/199.92
  6. Step 6: Final answer
    x = 291.21

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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.