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Finding the Fourth Proportional to 324.24, 485.67 and 262.28

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Solution

The fourth proportional to 324.24, 485.67 and 262.28 is: 392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.24 : 485.67 = 262.28 : x
  2. Step 2: Convert to fraction form
    324.24/485.67 = 262.28/x
  3. Step 3: Cross multiply
    324.24x = 485.67 × 262.28
  4. Step 4: Simplify right side
    324.24x = 127,379.10
  5. Step 5: Solve for x
    x = 127,379.10/324.24
  6. Step 6: Final answer
    x = 392.85

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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.