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Finding the Fourth Proportional to 299.23, 450.89 and 246.31

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Solution

The fourth proportional to 299.23, 450.89 and 246.31 is: 371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.23 : 450.89 = 246.31 : x
  2. Step 2: Convert to fraction form
    299.23/450.89 = 246.31/x
  3. Step 3: Cross multiply
    299.23x = 450.89 × 246.31
  4. Step 4: Simplify right side
    299.23x = 111,058.72
  5. Step 5: Solve for x
    x = 111,058.72/299.23
  6. Step 6: Final answer
    x = 371.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.