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Finding the Fourth Proportional to 329.81, 495.27 and 316.73

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Solution

The fourth proportional to 329.81, 495.27 and 316.73 is: 475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.81 : 495.27 = 316.73 : x
  2. Step 2: Convert to fraction form
    329.81/495.27 = 316.73/x
  3. Step 3: Cross multiply
    329.81x = 495.27 × 316.73
  4. Step 4: Simplify right side
    329.81x = 156,866.87
  5. Step 5: Solve for x
    x = 156,866.87/329.81
  6. Step 6: Final answer
    x = 475.63

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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.