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Finding the Fourth Proportional to 394.51, 591.33 and 163.21

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Solution

The fourth proportional to 394.51, 591.33 and 163.21 is: 244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.51 : 591.33 = 163.21 : x
  2. Step 2: Convert to fraction form
    394.51/591.33 = 163.21/x
  3. Step 3: Cross multiply
    394.51x = 591.33 × 163.21
  4. Step 4: Simplify right side
    394.51x = 96,510.97
  5. Step 5: Solve for x
    x = 96,510.97/394.51
  6. Step 6: Final answer
    x = 244.64

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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.