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Finding the Fourth Proportional to 324.68, 485.98 and 180.04

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Solution

The fourth proportional to 324.68, 485.98 and 180.04 is: 269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.68 : 485.98 = 180.04 : x
  2. Step 2: Convert to fraction form
    324.68/485.98 = 180.04/x
  3. Step 3: Cross multiply
    324.68x = 485.98 × 180.04
  4. Step 4: Simplify right side
    324.68x = 87,495.84
  5. Step 5: Solve for x
    x = 87,495.84/324.68
  6. Step 6: Final answer
    x = 269.48

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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.