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Finding the Fourth Proportional to 488.85, 675.15 and 323.80

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Solution

The fourth proportional to 488.85, 675.15 and 323.80 is: 447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.85 : 675.15 = 323.80 : x
  2. Step 2: Convert to fraction form
    488.85/675.15 = 323.80/x
  3. Step 3: Cross multiply
    488.85x = 675.15 × 323.80
  4. Step 4: Simplify right side
    488.85x = 218,613.57
  5. Step 5: Solve for x
    x = 218,613.57/488.85
  6. Step 6: Final answer
    x = 447.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.