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Finding the Fourth Proportional to 324.56, 447.81 and 184.64

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Solution

The fourth proportional to 324.56, 447.81 and 184.64 is: 254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.56 : 447.81 = 184.64 : x
  2. Step 2: Convert to fraction form
    324.56/447.81 = 184.64/x
  3. Step 3: Cross multiply
    324.56x = 447.81 × 184.64
  4. Step 4: Simplify right side
    324.56x = 82,684.76
  5. Step 5: Solve for x
    x = 82,684.76/324.56
  6. Step 6: Final answer
    x = 254.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.