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Finding the Fourth Proportional to 324.55, 447.55 and 300.25

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Solution

The fourth proportional to 324.55, 447.55 and 300.25 is: 414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.55 : 447.55 = 300.25 : x
  2. Step 2: Convert to fraction form
    324.55/447.55 = 300.25/x
  3. Step 3: Cross multiply
    324.55x = 447.55 × 300.25
  4. Step 4: Simplify right side
    324.55x = 134,376.89
  5. Step 5: Solve for x
    x = 134,376.89/324.55
  6. Step 6: Final answer
    x = 414.04

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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.