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Finding the Fourth Proportional to 329.41, 494.11 and 85.93

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Solution

The fourth proportional to 329.41, 494.11 and 85.93 is: 128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.41 : 494.11 = 85.93 : x
  2. Step 2: Convert to fraction form
    329.41/494.11 = 85.93/x
  3. Step 3: Cross multiply
    329.41x = 494.11 × 85.93
  4. Step 4: Simplify right side
    329.41x = 42,458.66
  5. Step 5: Solve for x
    x = 42,458.66/329.41
  6. Step 6: Final answer
    x = 128.90

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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.