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Finding the Fourth Proportional to 271.44, 406.80 and 199.08

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Solution

The fourth proportional to 271.44, 406.80 and 199.08 is: 298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 406.80 = 199.08 : x
  2. Step 2: Convert to fraction form
    271.44/406.80 = 199.08/x
  3. Step 3: Cross multiply
    271.44x = 406.80 × 199.08
  4. Step 4: Simplify right side
    271.44x = 80,985.74
  5. Step 5: Solve for x
    x = 80,985.74/271.44
  6. Step 6: Final answer
    x = 298.36

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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.