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Finding the Fourth Proportional to 271.41, 405.33 and 268.59

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Solution

The fourth proportional to 271.41, 405.33 and 268.59 is: 401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.41 : 405.33 = 268.59 : x
  2. Step 2: Convert to fraction form
    271.41/405.33 = 268.59/x
  3. Step 3: Cross multiply
    271.41x = 405.33 × 268.59
  4. Step 4: Simplify right side
    271.41x = 108,867.58
  5. Step 5: Solve for x
    x = 108,867.58/271.41
  6. Step 6: Final answer
    x = 401.12

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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.