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Finding the Fourth Proportional to 300.80, 449.83 and 257.06

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Solution

The fourth proportional to 300.80, 449.83 and 257.06 is: 384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.80 : 449.83 = 257.06 : x
  2. Step 2: Convert to fraction form
    300.80/449.83 = 257.06/x
  3. Step 3: Cross multiply
    300.80x = 449.83 × 257.06
  4. Step 4: Simplify right side
    300.80x = 115,633.30
  5. Step 5: Solve for x
    x = 115,633.30/300.80
  6. Step 6: Final answer
    x = 384.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.