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Finding the Fourth Proportional to 301.20, 449.10 and 300.78

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Solution

The fourth proportional to 301.20, 449.10 and 300.78 is: 448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.20 : 449.10 = 300.78 : x
  2. Step 2: Convert to fraction form
    301.20/449.10 = 300.78/x
  3. Step 3: Cross multiply
    301.20x = 449.10 × 300.78
  4. Step 4: Simplify right side
    301.20x = 135,080.30
  5. Step 5: Solve for x
    x = 135,080.30/301.20
  6. Step 6: Final answer
    x = 448.47

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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.