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Finding the Fourth Proportional to 270.27, 406.78 and 202.16

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Solution

The fourth proportional to 270.27, 406.78 and 202.16 is: 304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.27 : 406.78 = 202.16 : x
  2. Step 2: Convert to fraction form
    270.27/406.78 = 202.16/x
  3. Step 3: Cross multiply
    270.27x = 406.78 × 202.16
  4. Step 4: Simplify right side
    270.27x = 82,234.64
  5. Step 5: Solve for x
    x = 82,234.64/270.27
  6. Step 6: Final answer
    x = 304.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.