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Finding the Fourth Proportional to 329.78, 494.80 and 113.38

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Solution

The fourth proportional to 329.78, 494.80 and 113.38 is: 170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.78 : 494.80 = 113.38 : x
  2. Step 2: Convert to fraction form
    329.78/494.80 = 113.38/x
  3. Step 3: Cross multiply
    329.78x = 494.80 × 113.38
  4. Step 4: Simplify right side
    329.78x = 56,100.42
  5. Step 5: Solve for x
    x = 56,100.42/329.78
  6. Step 6: Final answer
    x = 170.11

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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.