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Finding the Fourth Proportional to 299.69, 447.42 and 256.37

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Solution

The fourth proportional to 299.69, 447.42 and 256.37 is: 382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.69 : 447.42 = 256.37 : x
  2. Step 2: Convert to fraction form
    299.69/447.42 = 256.37/x
  3. Step 3: Cross multiply
    299.69x = 447.42 × 256.37
  4. Step 4: Simplify right side
    299.69x = 114,705.07
  5. Step 5: Solve for x
    x = 114,705.07/299.69
  6. Step 6: Final answer
    x = 382.75

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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.