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Finding the Fourth Proportional to 200.05, 298.60 and 185.78

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Solution

The fourth proportional to 200.05, 298.60 and 185.78 is: 277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.05 : 298.60 = 185.78 : x
  2. Step 2: Convert to fraction form
    200.05/298.60 = 185.78/x
  3. Step 3: Cross multiply
    200.05x = 298.60 × 185.78
  4. Step 4: Simplify right side
    200.05x = 55,474.19
  5. Step 5: Solve for x
    x = 55,474.19/200.05
  6. Step 6: Final answer
    x = 277.31

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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.