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Finding the Fourth Proportional to 321.83, 483.33 and 167.86

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Solution

The fourth proportional to 321.83, 483.33 and 167.86 is: 252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.83 : 483.33 = 167.86 : x
  2. Step 2: Convert to fraction form
    321.83/483.33 = 167.86/x
  3. Step 3: Cross multiply
    321.83x = 483.33 × 167.86
  4. Step 4: Simplify right side
    321.83x = 81,129.36
  5. Step 5: Solve for x
    x = 81,129.36/321.83
  6. Step 6: Final answer
    x = 252.09

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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.