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Finding the Fourth Proportional to 299.24, 409.91 and 296

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Solution

The fourth proportional to 299.24, 409.91 and 296 is: 405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.24 : 409.91 = 296 : x
  2. Step 2: Convert to fraction form
    299.24/409.91 = 296/x
  3. Step 3: Cross multiply
    299.24x = 409.91 × 296
  4. Step 4: Simplify right side
    299.24x = 121,331.88
  5. Step 5: Solve for x
    x = 121,331.88/299.24
  6. Step 6: Final answer
    x = 405.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.