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Finding the Fourth Proportional to 200.03, 276.70 and 186.97

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Solution

The fourth proportional to 200.03, 276.70 and 186.97 is: 258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.03 : 276.70 = 186.97 : x
  2. Step 2: Convert to fraction form
    200.03/276.70 = 186.97/x
  3. Step 3: Cross multiply
    200.03x = 276.70 × 186.97
  4. Step 4: Simplify right side
    200.03x = 51,734.60
  5. Step 5: Solve for x
    x = 51,734.60/200.03
  6. Step 6: Final answer
    x = 258.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.