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Finding the Fourth Proportional to 301.44, 449.53 and 289.30

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Solution

The fourth proportional to 301.44, 449.53 and 289.30 is: 431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.44 : 449.53 = 289.30 : x
  2. Step 2: Convert to fraction form
    301.44/449.53 = 289.30/x
  3. Step 3: Cross multiply
    301.44x = 449.53 × 289.30
  4. Step 4: Simplify right side
    301.44x = 130,049.03
  5. Step 5: Solve for x
    x = 130,049.03/301.44
  6. Step 6: Final answer
    x = 431.43

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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.