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Finding the Fourth Proportional to 321.85, 483.16 and 252.65

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Solution

The fourth proportional to 321.85, 483.16 and 252.65 is: 379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.85 : 483.16 = 252.65 : x
  2. Step 2: Convert to fraction form
    321.85/483.16 = 252.65/x
  3. Step 3: Cross multiply
    321.85x = 483.16 × 252.65
  4. Step 4: Simplify right side
    321.85x = 122,070.37
  5. Step 5: Solve for x
    x = 122,070.37/321.85
  6. Step 6: Final answer
    x = 379.28

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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.