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Finding the Fourth Proportional to 299.77, 449.99 and 239.63

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Solution

The fourth proportional to 299.77, 449.99 and 239.63 is: 359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.77 : 449.99 = 239.63 : x
  2. Step 2: Convert to fraction form
    299.77/449.99 = 239.63/x
  3. Step 3: Cross multiply
    299.77x = 449.99 × 239.63
  4. Step 4: Simplify right side
    299.77x = 107,828.55
  5. Step 5: Solve for x
    x = 107,828.55/299.77
  6. Step 6: Final answer
    x = 359.71

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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.