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Finding the Fourth Proportional to 324.15, 485.06 and 280.96

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Solution

The fourth proportional to 324.15, 485.06 and 280.96 is: 420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.15 : 485.06 = 280.96 : x
  2. Step 2: Convert to fraction form
    324.15/485.06 = 280.96/x
  3. Step 3: Cross multiply
    324.15x = 485.06 × 280.96
  4. Step 4: Simplify right side
    324.15x = 136,281.05
  5. Step 5: Solve for x
    x = 136,281.05/324.15
  6. Step 6: Final answer
    x = 420.43

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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.