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Finding the Fourth Proportional to 201.84, 276.69 and 198.16

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Solution

The fourth proportional to 201.84, 276.69 and 198.16 is: 271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.84 : 276.69 = 198.16 : x
  2. Step 2: Convert to fraction form
    201.84/276.69 = 198.16/x
  3. Step 3: Cross multiply
    201.84x = 276.69 × 198.16
  4. Step 4: Simplify right side
    201.84x = 54,828.89
  5. Step 5: Solve for x
    x = 54,828.89/201.84
  6. Step 6: Final answer
    x = 271.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.