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Finding the Fourth Proportional to 199.86, 298.10 and 193.79

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Solution

The fourth proportional to 199.86, 298.10 and 193.79 is: 289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.86 : 298.10 = 193.79 : x
  2. Step 2: Convert to fraction form
    199.86/298.10 = 193.79/x
  3. Step 3: Cross multiply
    199.86x = 298.10 × 193.79
  4. Step 4: Simplify right side
    199.86x = 57,767.31
  5. Step 5: Solve for x
    x = 57,767.31/199.86
  6. Step 6: Final answer
    x = 289.04

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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.