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Finding the Fourth Proportional to 199.69, 299.83 and 165.67

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Solution

The fourth proportional to 199.69, 299.83 and 165.67 is: 248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.69 : 299.83 = 165.67 : x
  2. Step 2: Convert to fraction form
    199.69/299.83 = 165.67/x
  3. Step 3: Cross multiply
    199.69x = 299.83 × 165.67
  4. Step 4: Simplify right side
    199.69x = 49,672.36
  5. Step 5: Solve for x
    x = 49,672.36/199.69
  6. Step 6: Final answer
    x = 248.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.