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Finding the Fourth Proportional to 301.23, 449.82 and 285.44

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Solution

The fourth proportional to 301.23, 449.82 and 285.44 is: 426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.23 : 449.82 = 285.44 : x
  2. Step 2: Convert to fraction form
    301.23/449.82 = 285.44/x
  3. Step 3: Cross multiply
    301.23x = 449.82 × 285.44
  4. Step 4: Simplify right side
    301.23x = 128,394.37
  5. Step 5: Solve for x
    x = 128,394.37/301.23
  6. Step 6: Final answer
    x = 426.23

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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.