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Finding the Fourth Proportional to 299.70, 410.27 and 290.39

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Solution

The fourth proportional to 299.70, 410.27 and 290.39 is: 397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.70 : 410.27 = 290.39 : x
  2. Step 2: Convert to fraction form
    299.70/410.27 = 290.39/x
  3. Step 3: Cross multiply
    299.70x = 410.27 × 290.39
  4. Step 4: Simplify right side
    299.70x = 119,134.80
  5. Step 5: Solve for x
    x = 119,134.80/299.70
  6. Step 6: Final answer
    x = 397.51

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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.