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Finding the Fourth Proportional to 324.38, 484.01 and 304.69

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Solution

The fourth proportional to 324.38, 484.01 and 304.69 is: 454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.38 : 484.01 = 304.69 : x
  2. Step 2: Convert to fraction form
    324.38/484.01 = 304.69/x
  3. Step 3: Cross multiply
    324.38x = 484.01 × 304.69
  4. Step 4: Simplify right side
    324.38x = 147,470.27
  5. Step 5: Solve for x
    x = 147,470.27/324.38
  6. Step 6: Final answer
    x = 454.62

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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.