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Finding the Fourth Proportional to 300.71, 449.09 and 259.25

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Solution

The fourth proportional to 300.71, 449.09 and 259.25 is: 387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.71 : 449.09 = 259.25 : x
  2. Step 2: Convert to fraction form
    300.71/449.09 = 259.25/x
  3. Step 3: Cross multiply
    300.71x = 449.09 × 259.25
  4. Step 4: Simplify right side
    300.71x = 116,428.00
  5. Step 5: Solve for x
    x = 116,428.00/300.71
  6. Step 6: Final answer
    x = 387.17

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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.