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Finding the Fourth Proportional to 329.94, 494.90 and 193.04

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Solution

The fourth proportional to 329.94, 494.90 and 193.04 is: 289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.94 : 494.90 = 193.04 : x
  2. Step 2: Convert to fraction form
    329.94/494.90 = 193.04/x
  3. Step 3: Cross multiply
    329.94x = 494.90 × 193.04
  4. Step 4: Simplify right side
    329.94x = 95,535.50
  5. Step 5: Solve for x
    x = 95,535.50/329.94
  6. Step 6: Final answer
    x = 289.55

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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.