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Finding the Fourth Proportional to 300.36, 447.95 and 271.20

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Solution

The fourth proportional to 300.36, 447.95 and 271.20 is: 404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.36 : 447.95 = 271.20 : x
  2. Step 2: Convert to fraction form
    300.36/447.95 = 271.20/x
  3. Step 3: Cross multiply
    300.36x = 447.95 × 271.20
  4. Step 4: Simplify right side
    300.36x = 121,484.04
  5. Step 5: Solve for x
    x = 121,484.04/300.36
  6. Step 6: Final answer
    x = 404.46

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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.