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Finding the Fourth Proportional to 324.06, 485.86 and 167.98

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Solution

The fourth proportional to 324.06, 485.86 and 167.98 is: 251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.06 : 485.86 = 167.98 : x
  2. Step 2: Convert to fraction form
    324.06/485.86 = 167.98/x
  3. Step 3: Cross multiply
    324.06x = 485.86 × 167.98
  4. Step 4: Simplify right side
    324.06x = 81,611.49
  5. Step 5: Solve for x
    x = 81,611.49/324.06
  6. Step 6: Final answer
    x = 251.84

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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.