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Finding the Fourth Proportional to 271.44, 409.05 and 231.39

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Solution

The fourth proportional to 271.44, 409.05 and 231.39 is: 348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 409.05 = 231.39 : x
  2. Step 2: Convert to fraction form
    271.44/409.05 = 231.39/x
  3. Step 3: Cross multiply
    271.44x = 409.05 × 231.39
  4. Step 4: Simplify right side
    271.44x = 94,650.08
  5. Step 5: Solve for x
    x = 94,650.08/271.44
  6. Step 6: Final answer
    x = 348.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.