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Finding the Fourth Proportional to 321.82, 483.03 and 167.86

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Solution

The fourth proportional to 321.82, 483.03 and 167.86 is: 251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.82 : 483.03 = 167.86 : x
  2. Step 2: Convert to fraction form
    321.82/483.03 = 167.86/x
  3. Step 3: Cross multiply
    321.82x = 483.03 × 167.86
  4. Step 4: Simplify right side
    321.82x = 81,080.21
  5. Step 5: Solve for x
    x = 81,080.21/321.82
  6. Step 6: Final answer
    x = 251.94

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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.