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Finding the Fourth Proportional to 492.19, 738.30 and 329.80

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Solution

The fourth proportional to 492.19, 738.30 and 329.80 is: 494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.19 : 738.30 = 329.80 : x
  2. Step 2: Convert to fraction form
    492.19/738.30 = 329.80/x
  3. Step 3: Cross multiply
    492.19x = 738.30 × 329.80
  4. Step 4: Simplify right side
    492.19x = 243,491.34
  5. Step 5: Solve for x
    x = 243,491.34/492.19
  6. Step 6: Final answer
    x = 494.71

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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.