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Finding the Fourth Proportional to 271.78, 404.40 and 270.87

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Solution

The fourth proportional to 271.78, 404.40 and 270.87 is: 403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.78 : 404.40 = 270.87 : x
  2. Step 2: Convert to fraction form
    271.78/404.40 = 270.87/x
  3. Step 3: Cross multiply
    271.78x = 404.40 × 270.87
  4. Step 4: Simplify right side
    271.78x = 109,539.83
  5. Step 5: Solve for x
    x = 109,539.83/271.78
  6. Step 6: Final answer
    x = 403.05

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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.