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Finding the Fourth Proportional to 300.27, 448.34 and 269.22

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Solution

The fourth proportional to 300.27, 448.34 and 269.22 is: 401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.27 : 448.34 = 269.22 : x
  2. Step 2: Convert to fraction form
    300.27/448.34 = 269.22/x
  3. Step 3: Cross multiply
    300.27x = 448.34 × 269.22
  4. Step 4: Simplify right side
    300.27x = 120,702.09
  5. Step 5: Solve for x
    x = 120,702.09/300.27
  6. Step 6: Final answer
    x = 401.98

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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.