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Finding the Fourth Proportional to 326, 489.28 and 133.64

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Solution

The fourth proportional to 326, 489.28 and 133.64 is: 200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    326 : 489.28 = 133.64 : x
  2. Step 2: Convert to fraction form
    326/489.28 = 133.64/x
  3. Step 3: Cross multiply
    326x = 489.28 × 133.64
  4. Step 4: Simplify right side
    326x = 65,387.38
  5. Step 5: Solve for x
    x = 65,387.38/326
  6. Step 6: Final answer
    x = 200.57

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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.