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Finding the Fourth Proportional to 300.09, 449.79 and 145.66

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Solution

The fourth proportional to 300.09, 449.79 and 145.66 is: 218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.09 : 449.79 = 145.66 : x
  2. Step 2: Convert to fraction form
    300.09/449.79 = 145.66/x
  3. Step 3: Cross multiply
    300.09x = 449.79 × 145.66
  4. Step 4: Simplify right side
    300.09x = 65,514.95
  5. Step 5: Solve for x
    x = 65,514.95/300.09
  6. Step 6: Final answer
    x = 218.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.