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Finding the Fourth Proportional to 199.45, 299.23 and 141.81

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Solution

The fourth proportional to 199.45, 299.23 and 141.81 is: 212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.45 : 299.23 = 141.81 : x
  2. Step 2: Convert to fraction form
    199.45/299.23 = 141.81/x
  3. Step 3: Cross multiply
    199.45x = 299.23 × 141.81
  4. Step 4: Simplify right side
    199.45x = 42,435.03
  5. Step 5: Solve for x
    x = 42,435.03/199.45
  6. Step 6: Final answer
    x = 212.76

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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.