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Finding the Fourth Proportional to 324.10, 485.54 and 275.50

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Solution

The fourth proportional to 324.10, 485.54 and 275.50 is: 412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.10 : 485.54 = 275.50 : x
  2. Step 2: Convert to fraction form
    324.10/485.54 = 275.50/x
  3. Step 3: Cross multiply
    324.10x = 485.54 × 275.50
  4. Step 4: Simplify right side
    324.10x = 133,766.27
  5. Step 5: Solve for x
    x = 133,766.27/324.10
  6. Step 6: Final answer
    x = 412.73

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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.