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Finding the Fourth Proportional to 271.08, 405.78 and 198.72

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Solution

The fourth proportional to 271.08, 405.78 and 198.72 is: 297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.08 : 405.78 = 198.72 : x
  2. Step 2: Convert to fraction form
    271.08/405.78 = 198.72/x
  3. Step 3: Cross multiply
    271.08x = 405.78 × 198.72
  4. Step 4: Simplify right side
    271.08x = 80,636.60
  5. Step 5: Solve for x
    x = 80,636.60/271.08
  6. Step 6: Final answer
    x = 297.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.