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Finding the Fourth Proportional to 300.77, 448.27 and 300.31

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Solution

The fourth proportional to 300.77, 448.27 and 300.31 is: 447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.77 : 448.27 = 300.31 : x
  2. Step 2: Convert to fraction form
    300.77/448.27 = 300.31/x
  3. Step 3: Cross multiply
    300.77x = 448.27 × 300.31
  4. Step 4: Simplify right side
    300.77x = 134,618.09
  5. Step 5: Solve for x
    x = 134,618.09/300.77
  6. Step 6: Final answer
    x = 447.58

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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.