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Finding the Fourth Proportional to 326.12, 489 and 140.94

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Solution

The fourth proportional to 326.12, 489 and 140.94 is: 211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.12 : 489 = 140.94 : x
  2. Step 2: Convert to fraction form
    326.12/489 = 140.94/x
  3. Step 3: Cross multiply
    326.12x = 489 × 140.94
  4. Step 4: Simplify right side
    326.12x = 68,919.66
  5. Step 5: Solve for x
    x = 68,919.66/326.12
  6. Step 6: Final answer
    x = 211.33

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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.