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Finding the Fourth Proportional to 329.68, 492.11 and 305.24

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Solution

The fourth proportional to 329.68, 492.11 and 305.24 is: 455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.68 : 492.11 = 305.24 : x
  2. Step 2: Convert to fraction form
    329.68/492.11 = 305.24/x
  3. Step 3: Cross multiply
    329.68x = 492.11 × 305.24
  4. Step 4: Simplify right side
    329.68x = 150,213.65
  5. Step 5: Solve for x
    x = 150,213.65/329.68
  6. Step 6: Final answer
    x = 455.64

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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.