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Finding the Fourth Proportional to 311.21, 426.35 and 299.51

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Solution

The fourth proportional to 311.21, 426.35 and 299.51 is: 410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.21 : 426.35 = 299.51 : x
  2. Step 2: Convert to fraction form
    311.21/426.35 = 299.51/x
  3. Step 3: Cross multiply
    311.21x = 426.35 × 299.51
  4. Step 4: Simplify right side
    311.21x = 127,696.09
  5. Step 5: Solve for x
    x = 127,696.09/311.21
  6. Step 6: Final answer
    x = 410.32

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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.