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Finding the Fourth Proportional to 299.80, 414.30 and 234.19

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Solution

The fourth proportional to 299.80, 414.30 and 234.19 is: 323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.80 : 414.30 = 234.19 : x
  2. Step 2: Convert to fraction form
    299.80/414.30 = 234.19/x
  3. Step 3: Cross multiply
    299.80x = 414.30 × 234.19
  4. Step 4: Simplify right side
    299.80x = 97,024.92
  5. Step 5: Solve for x
    x = 97,024.92/299.80
  6. Step 6: Final answer
    x = 323.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.