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Finding the Fourth Proportional to 271.58, 404.43 and 262.46

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Solution

The fourth proportional to 271.58, 404.43 and 262.46 is: 390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.58 : 404.43 = 262.46 : x
  2. Step 2: Convert to fraction form
    271.58/404.43 = 262.46/x
  3. Step 3: Cross multiply
    271.58x = 404.43 × 262.46
  4. Step 4: Simplify right side
    271.58x = 106,144.68
  5. Step 5: Solve for x
    x = 106,144.68/271.58
  6. Step 6: Final answer
    x = 390.85

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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.