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Finding the Fourth Proportional to 199.29, 300.45 and 185.37

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Solution

The fourth proportional to 199.29, 300.45 and 185.37 is: 279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.29 : 300.45 = 185.37 : x
  2. Step 2: Convert to fraction form
    199.29/300.45 = 185.37/x
  3. Step 3: Cross multiply
    199.29x = 300.45 × 185.37
  4. Step 4: Simplify right side
    199.29x = 55,694.42
  5. Step 5: Solve for x
    x = 55,694.42/199.29
  6. Step 6: Final answer
    x = 279.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.