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Finding the Fourth Proportional to 329.55, 494.17 and 192.63

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Solution

The fourth proportional to 329.55, 494.17 and 192.63 is: 288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.55 : 494.17 = 192.63 : x
  2. Step 2: Convert to fraction form
    329.55/494.17 = 192.63/x
  3. Step 3: Cross multiply
    329.55x = 494.17 × 192.63
  4. Step 4: Simplify right side
    329.55x = 95,193.34
  5. Step 5: Solve for x
    x = 95,193.34/329.55
  6. Step 6: Final answer
    x = 288.86

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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.