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Finding the Fourth Proportional to 326.14, 489.28 and 109.74

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Solution

The fourth proportional to 326.14, 489.28 and 109.74 is: 164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.14 : 489.28 = 109.74 : x
  2. Step 2: Convert to fraction form
    326.14/489.28 = 109.74/x
  3. Step 3: Cross multiply
    326.14x = 489.28 × 109.74
  4. Step 4: Simplify right side
    326.14x = 53,693.59
  5. Step 5: Solve for x
    x = 53,693.59/326.14
  6. Step 6: Final answer
    x = 164.63

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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.