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Finding the Fourth Proportional to 299.70, 410.94 and 292.41

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Solution

The fourth proportional to 299.70, 410.94 and 292.41 is: 400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.70 : 410.94 = 292.41 : x
  2. Step 2: Convert to fraction form
    299.70/410.94 = 292.41/x
  3. Step 3: Cross multiply
    299.70x = 410.94 × 292.41
  4. Step 4: Simplify right side
    299.70x = 120,162.97
  5. Step 5: Solve for x
    x = 120,162.97/299.70
  6. Step 6: Final answer
    x = 400.94

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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.