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Finding the Fourth Proportional to 199.89, 299.94 and 146.23

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Solution

The fourth proportional to 199.89, 299.94 and 146.23 is: 219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.89 : 299.94 = 146.23 : x
  2. Step 2: Convert to fraction form
    199.89/299.94 = 146.23/x
  3. Step 3: Cross multiply
    199.89x = 299.94 × 146.23
  4. Step 4: Simplify right side
    199.89x = 43,858.93
  5. Step 5: Solve for x
    x = 43,858.93/199.89
  6. Step 6: Final answer
    x = 219.42

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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.