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Finding the Fourth Proportional to 301.11, 449.07 and 271.95

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Solution

The fourth proportional to 301.11, 449.07 and 271.95 is: 405.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.11 : 449.07 = 271.95 : x
  2. Step 2: Convert to fraction form
    301.11/449.07 = 271.95/x
  3. Step 3: Cross multiply
    301.11x = 449.07 × 271.95
  4. Step 4: Simplify right side
    301.11x = 122,124.59
  5. Step 5: Solve for x
    x = 122,124.59/301.11
  6. Step 6: Final answer
    x = 405.58

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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.