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Finding the Fourth Proportional to 300.19, 449.52 and 184.29

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Solution

The fourth proportional to 300.19, 449.52 and 184.29 is: 275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.19 : 449.52 = 184.29 : x
  2. Step 2: Convert to fraction form
    300.19/449.52 = 184.29/x
  3. Step 3: Cross multiply
    300.19x = 449.52 × 184.29
  4. Step 4: Simplify right side
    300.19x = 82,842.04
  5. Step 5: Solve for x
    x = 82,842.04/300.19
  6. Step 6: Final answer
    x = 275.97

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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.