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Finding the Fourth Proportional to 268.62, 371.21 and 198.76

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Solution

The fourth proportional to 268.62, 371.21 and 198.76 is: 274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.62 : 371.21 = 198.76 : x
  2. Step 2: Convert to fraction form
    268.62/371.21 = 198.76/x
  3. Step 3: Cross multiply
    268.62x = 371.21 × 198.76
  4. Step 4: Simplify right side
    268.62x = 73,779.78
  5. Step 5: Solve for x
    x = 73,779.78/268.62
  6. Step 6: Final answer
    x = 274.66

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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.