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Finding the Fourth Proportional to 271.76, 404.80 and 270.80

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Solution

The fourth proportional to 271.76, 404.80 and 270.80 is: 403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.76 : 404.80 = 270.80 : x
  2. Step 2: Convert to fraction form
    271.76/404.80 = 270.80/x
  3. Step 3: Cross multiply
    271.76x = 404.80 × 270.80
  4. Step 4: Simplify right side
    271.76x = 109,619.84
  5. Step 5: Solve for x
    x = 109,619.84/271.76
  6. Step 6: Final answer
    x = 403.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.