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Finding the Fourth Proportional to 300.58, 447.68 and 287.25

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Solution

The fourth proportional to 300.58, 447.68 and 287.25 is: 427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.58 : 447.68 = 287.25 : x
  2. Step 2: Convert to fraction form
    300.58/447.68 = 287.25/x
  3. Step 3: Cross multiply
    300.58x = 447.68 × 287.25
  4. Step 4: Simplify right side
    300.58x = 128,596.08
  5. Step 5: Solve for x
    x = 128,596.08/300.58
  6. Step 6: Final answer
    x = 427.83

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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.