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Finding the Fourth Proportional to 329.51, 494.28 and 134.49

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Solution

The fourth proportional to 329.51, 494.28 and 134.49 is: 201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.51 : 494.28 = 134.49 : x
  2. Step 2: Convert to fraction form
    329.51/494.28 = 134.49/x
  3. Step 3: Cross multiply
    329.51x = 494.28 × 134.49
  4. Step 4: Simplify right side
    329.51x = 66,475.72
  5. Step 5: Solve for x
    x = 66,475.72/329.51
  6. Step 6: Final answer
    x = 201.74

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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.