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Finding the Fourth Proportional to 271.09, 405.91 and 197.74

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Solution

The fourth proportional to 271.09, 405.91 and 197.74 is: 296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.09 : 405.91 = 197.74 : x
  2. Step 2: Convert to fraction form
    271.09/405.91 = 197.74/x
  3. Step 3: Cross multiply
    271.09x = 405.91 × 197.74
  4. Step 4: Simplify right side
    271.09x = 80,264.64
  5. Step 5: Solve for x
    x = 80,264.64/271.09
  6. Step 6: Final answer
    x = 296.08

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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.