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Finding the Fourth Proportional to 329.41, 493.26 and 319.67

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Solution

The fourth proportional to 329.41, 493.26 and 319.67 is: 478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.41 : 493.26 = 319.67 : x
  2. Step 2: Convert to fraction form
    329.41/493.26 = 319.67/x
  3. Step 3: Cross multiply
    329.41x = 493.26 × 319.67
  4. Step 4: Simplify right side
    329.41x = 157,680.42
  5. Step 5: Solve for x
    x = 157,680.42/329.41
  6. Step 6: Final answer
    x = 478.68

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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.