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Finding the Fourth Proportional to 200.85, 299.37 and 186.05

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Solution

The fourth proportional to 200.85, 299.37 and 186.05 is: 277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.85 : 299.37 = 186.05 : x
  2. Step 2: Convert to fraction form
    200.85/299.37 = 186.05/x
  3. Step 3: Cross multiply
    200.85x = 299.37 × 186.05
  4. Step 4: Simplify right side
    200.85x = 55,697.70
  5. Step 5: Solve for x
    x = 55,697.70/200.85
  6. Step 6: Final answer
    x = 277.32

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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.