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Finding the Fourth Proportional to 300.41, 450.17 and 269.81

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Solution

The fourth proportional to 300.41, 450.17 and 269.81 is: 404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.41 : 450.17 = 269.81 : x
  2. Step 2: Convert to fraction form
    300.41/450.17 = 269.81/x
  3. Step 3: Cross multiply
    300.41x = 450.17 × 269.81
  4. Step 4: Simplify right side
    300.41x = 121,459.02
  5. Step 5: Solve for x
    x = 121,459.02/300.41
  6. Step 6: Final answer
    x = 404.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.