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Finding the Fourth Proportional to 324.80, 448.48 and 303.20

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Solution

The fourth proportional to 324.80, 448.48 and 303.20 is: 418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.80 : 448.48 = 303.20 : x
  2. Step 2: Convert to fraction form
    324.80/448.48 = 303.20/x
  3. Step 3: Cross multiply
    324.80x = 448.48 × 303.20
  4. Step 4: Simplify right side
    324.80x = 135,979.14
  5. Step 5: Solve for x
    x = 135,979.14/324.80
  6. Step 6: Final answer
    x = 418.65

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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.