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Finding the Fourth Proportional to 329.67, 494.17 and 113.06

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Solution

The fourth proportional to 329.67, 494.17 and 113.06 is: 169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.67 : 494.17 = 113.06 : x
  2. Step 2: Convert to fraction form
    329.67/494.17 = 113.06/x
  3. Step 3: Cross multiply
    329.67x = 494.17 × 113.06
  4. Step 4: Simplify right side
    329.67x = 55,871.81
  5. Step 5: Solve for x
    x = 55,871.81/329.67
  6. Step 6: Final answer
    x = 169.48

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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.