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Finding the Fourth Proportional to 270.09, 406.98 and 268.47

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Solution

The fourth proportional to 270.09, 406.98 and 268.47 is: 404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.09 : 406.98 = 268.47 : x
  2. Step 2: Convert to fraction form
    270.09/406.98 = 268.47/x
  3. Step 3: Cross multiply
    270.09x = 406.98 × 268.47
  4. Step 4: Simplify right side
    270.09x = 109,261.92
  5. Step 5: Solve for x
    x = 109,261.92/270.09
  6. Step 6: Final answer
    x = 404.54

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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.