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Finding the Fourth Proportional to 326, 489.03 and 140.74

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Solution

The fourth proportional to 326, 489.03 and 140.74 is: 211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    326 : 489.03 = 140.74 : x
  2. Step 2: Convert to fraction form
    326/489.03 = 140.74/x
  3. Step 3: Cross multiply
    326x = 489.03 × 140.74
  4. Step 4: Simplify right side
    326x = 68,826.08
  5. Step 5: Solve for x
    x = 68,826.08/326
  6. Step 6: Final answer
    x = 211.12

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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.