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Finding the Fourth Proportional to 300.23, 450.42 and 254.90

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Solution

The fourth proportional to 300.23, 450.42 and 254.90 is: 382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.23 : 450.42 = 254.90 : x
  2. Step 2: Convert to fraction form
    300.23/450.42 = 254.90/x
  3. Step 3: Cross multiply
    300.23x = 450.42 × 254.90
  4. Step 4: Simplify right side
    300.23x = 114,809.81
  5. Step 5: Solve for x
    x = 114,809.81/300.23
  6. Step 6: Final answer
    x = 382.41

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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.