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Finding the Fourth Proportional to 299.28, 445.72 and 279.24

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Solution

The fourth proportional to 299.28, 445.72 and 279.24 is: 415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.28 : 445.72 = 279.24 : x
  2. Step 2: Convert to fraction form
    299.28/445.72 = 279.24/x
  3. Step 3: Cross multiply
    299.28x = 445.72 × 279.24
  4. Step 4: Simplify right side
    299.28x = 124,462.85
  5. Step 5: Solve for x
    x = 124,462.85/299.28
  6. Step 6: Final answer
    x = 415.87

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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.