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Finding the Fourth Proportional to 294.83, 406.89 and 163.84

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Solution

The fourth proportional to 294.83, 406.89 and 163.84 is: 226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.83 : 406.89 = 163.84 : x
  2. Step 2: Convert to fraction form
    294.83/406.89 = 163.84/x
  3. Step 3: Cross multiply
    294.83x = 406.89 × 163.84
  4. Step 4: Simplify right side
    294.83x = 66,664.86
  5. Step 5: Solve for x
    x = 66,664.86/294.83
  6. Step 6: Final answer
    x = 226.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.