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Finding the Fourth Proportional to 329.25, 490.50 and 315.27

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Solution

The fourth proportional to 329.25, 490.50 and 315.27 is: 469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.25 : 490.50 = 315.27 : x
  2. Step 2: Convert to fraction form
    329.25/490.50 = 315.27/x
  3. Step 3: Cross multiply
    329.25x = 490.50 × 315.27
  4. Step 4: Simplify right side
    329.25x = 154,639.94
  5. Step 5: Solve for x
    x = 154,639.94/329.25
  6. Step 6: Final answer
    x = 469.67

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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.