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Finding the Fourth Proportional to 324.20, 486.40 and 304.86

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Solution

The fourth proportional to 324.20, 486.40 and 304.86 is: 457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.20 : 486.40 = 304.86 : x
  2. Step 2: Convert to fraction form
    324.20/486.40 = 304.86/x
  3. Step 3: Cross multiply
    324.20x = 486.40 × 304.86
  4. Step 4: Simplify right side
    324.20x = 148,283.90
  5. Step 5: Solve for x
    x = 148,283.90/324.20
  6. Step 6: Final answer
    x = 457.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.