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Finding the Fourth Proportional to 271.66, 405.71 and 268.83

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Solution

The fourth proportional to 271.66, 405.71 and 268.83 is: 401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.66 : 405.71 = 268.83 : x
  2. Step 2: Convert to fraction form
    271.66/405.71 = 268.83/x
  3. Step 3: Cross multiply
    271.66x = 405.71 × 268.83
  4. Step 4: Simplify right side
    271.66x = 109,067.02
  5. Step 5: Solve for x
    x = 109,067.02/271.66
  6. Step 6: Final answer
    x = 401.48

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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.