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Finding the Fourth Proportional to 324.09, 484.29 and 306.54

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Solution

The fourth proportional to 324.09, 484.29 and 306.54 is: 458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.09 : 484.29 = 306.54 : x
  2. Step 2: Convert to fraction form
    324.09/484.29 = 306.54/x
  3. Step 3: Cross multiply
    324.09x = 484.29 × 306.54
  4. Step 4: Simplify right side
    324.09x = 148,454.26
  5. Step 5: Solve for x
    x = 148,454.26/324.09
  6. Step 6: Final answer
    x = 458.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.