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Finding the Fourth Proportional to 324.16, 486.06 and 179.98

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Solution

The fourth proportional to 324.16, 486.06 and 179.98 is: 269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.16 : 486.06 = 179.98 : x
  2. Step 2: Convert to fraction form
    324.16/486.06 = 179.98/x
  3. Step 3: Cross multiply
    324.16x = 486.06 × 179.98
  4. Step 4: Simplify right side
    324.16x = 87,481.08
  5. Step 5: Solve for x
    x = 87,481.08/324.16
  6. Step 6: Final answer
    x = 269.87

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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.