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Finding the Fourth Proportional to 288.12, 397.62 and 163.78

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Solution

The fourth proportional to 288.12, 397.62 and 163.78 is: 226.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.12 : 397.62 = 163.78 : x
  2. Step 2: Convert to fraction form
    288.12/397.62 = 163.78/x
  3. Step 3: Cross multiply
    288.12x = 397.62 × 163.78
  4. Step 4: Simplify right side
    288.12x = 65,121.21
  5. Step 5: Solve for x
    x = 65,121.21/288.12
  6. Step 6: Final answer
    x = 226.02

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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.