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Finding the Fourth Proportional to 329.26, 494.08 and 192.36

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Solution

The fourth proportional to 329.26, 494.08 and 192.36 is: 288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.26 : 494.08 = 192.36 : x
  2. Step 2: Convert to fraction form
    329.26/494.08 = 192.36/x
  3. Step 3: Cross multiply
    329.26x = 494.08 × 192.36
  4. Step 4: Simplify right side
    329.26x = 95,041.23
  5. Step 5: Solve for x
    x = 95,041.23/329.26
  6. Step 6: Final answer
    x = 288.65

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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.