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Finding the Fourth Proportional to 200.49, 276.69 and 111.98

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Solution

The fourth proportional to 200.49, 276.69 and 111.98 is: 154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.49 : 276.69 = 111.98 : x
  2. Step 2: Convert to fraction form
    200.49/276.69 = 111.98/x
  3. Step 3: Cross multiply
    200.49x = 276.69 × 111.98
  4. Step 4: Simplify right side
    200.49x = 30,983.31
  5. Step 5: Solve for x
    x = 30,983.31/200.49
  6. Step 6: Final answer
    x = 154.53

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