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Finding the Fourth Proportional to 270.72, 408.70 and 269.28

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Solution

The fourth proportional to 270.72, 408.70 and 269.28 is: 406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.72 : 408.70 = 269.28 : x
  2. Step 2: Convert to fraction form
    270.72/408.70 = 269.28/x
  3. Step 3: Cross multiply
    270.72x = 408.70 × 269.28
  4. Step 4: Simplify right side
    270.72x = 110,054.74
  5. Step 5: Solve for x
    x = 110,054.74/270.72
  6. Step 6: Final answer
    x = 406.53

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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.