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Finding the Fourth Proportional to 300.94, 411.66 and 299.72

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Solution

The fourth proportional to 300.94, 411.66 and 299.72 is: 409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.94 : 411.66 = 299.72 : x
  2. Step 2: Convert to fraction form
    300.94/411.66 = 299.72/x
  3. Step 3: Cross multiply
    300.94x = 411.66 × 299.72
  4. Step 4: Simplify right side
    300.94x = 123,382.74
  5. Step 5: Solve for x
    x = 123,382.74/300.94
  6. Step 6: Final answer
    x = 409.99

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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.