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Finding the Fourth Proportional to 199.56, 297.78 and 185.19

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Solution

The fourth proportional to 199.56, 297.78 and 185.19 is: 276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.56 : 297.78 = 185.19 : x
  2. Step 2: Convert to fraction form
    199.56/297.78 = 185.19/x
  3. Step 3: Cross multiply
    199.56x = 297.78 × 185.19
  4. Step 4: Simplify right side
    199.56x = 55,144.07
  5. Step 5: Solve for x
    x = 55,144.07/199.56
  6. Step 6: Final answer
    x = 276.32

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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.