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Finding the Fourth Proportional to 270.24, 406.88 and 225.28

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Solution

The fourth proportional to 270.24, 406.88 and 225.28 is: 339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.24 : 406.88 = 225.28 : x
  2. Step 2: Convert to fraction form
    270.24/406.88 = 225.28/x
  3. Step 3: Cross multiply
    270.24x = 406.88 × 225.28
  4. Step 4: Simplify right side
    270.24x = 91,661.93
  5. Step 5: Solve for x
    x = 91,661.93/270.24
  6. Step 6: Final answer
    x = 339.19

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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.