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Finding the Fourth Proportional to 323.85, 482.45 and 308.37

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Solution

The fourth proportional to 323.85, 482.45 and 308.37 is: 459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.85 : 482.45 = 308.37 : x
  2. Step 2: Convert to fraction form
    323.85/482.45 = 308.37/x
  3. Step 3: Cross multiply
    323.85x = 482.45 × 308.37
  4. Step 4: Simplify right side
    323.85x = 148,773.11
  5. Step 5: Solve for x
    x = 148,773.11/323.85
  6. Step 6: Final answer
    x = 459.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.