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Finding the Fourth Proportional to 323.46, 483.30 and 312.12

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Solution

The fourth proportional to 323.46, 483.30 and 312.12 is: 466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.46 : 483.30 = 312.12 : x
  2. Step 2: Convert to fraction form
    323.46/483.30 = 312.12/x
  3. Step 3: Cross multiply
    323.46x = 483.30 × 312.12
  4. Step 4: Simplify right side
    323.46x = 150,847.60
  5. Step 5: Solve for x
    x = 150,847.60/323.46
  6. Step 6: Final answer
    x = 466.36

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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.