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Finding the Fourth Proportional to 271.47, 404.60 and 266.07

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Solution

The fourth proportional to 271.47, 404.60 and 266.07 is: 396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.47 : 404.60 = 266.07 : x
  2. Step 2: Convert to fraction form
    271.47/404.60 = 266.07/x
  3. Step 3: Cross multiply
    271.47x = 404.60 × 266.07
  4. Step 4: Simplify right side
    271.47x = 107,650.59
  5. Step 5: Solve for x
    x = 107,650.59/271.47
  6. Step 6: Final answer
    x = 396.55

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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.