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Finding the Fourth Proportional to 323.73, 482.83 and 318.26

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Solution

The fourth proportional to 323.73, 482.83 and 318.26 is: 474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.73 : 482.83 = 318.26 : x
  2. Step 2: Convert to fraction form
    323.73/482.83 = 318.26/x
  3. Step 3: Cross multiply
    323.73x = 482.83 × 318.26
  4. Step 4: Simplify right side
    323.73x = 153,665.89
  5. Step 5: Solve for x
    x = 153,665.89/323.73
  6. Step 6: Final answer
    x = 474.67

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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.