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Finding the Fourth Proportional to 324.81, 485.46 and 298.86

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Solution

The fourth proportional to 324.81, 485.46 and 298.86 is: 446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.81 : 485.46 = 298.86 : x
  2. Step 2: Convert to fraction form
    324.81/485.46 = 298.86/x
  3. Step 3: Cross multiply
    324.81x = 485.46 × 298.86
  4. Step 4: Simplify right side
    324.81x = 145,083.08
  5. Step 5: Solve for x
    x = 145,083.08/324.81
  6. Step 6: Final answer
    x = 446.68

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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.