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Finding the Fourth Proportional to 300.91, 449.24 and 257.59

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Solution

The fourth proportional to 300.91, 449.24 and 257.59 is: 384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.91 : 449.24 = 257.59 : x
  2. Step 2: Convert to fraction form
    300.91/449.24 = 257.59/x
  3. Step 3: Cross multiply
    300.91x = 449.24 × 257.59
  4. Step 4: Simplify right side
    300.91x = 115,719.73
  5. Step 5: Solve for x
    x = 115,719.73/300.91
  6. Step 6: Final answer
    x = 384.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.