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Finding the Fourth Proportional to 270.26, 372.97 and 225.91

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Solution

The fourth proportional to 270.26, 372.97 and 225.91 is: 311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.26 : 372.97 = 225.91 : x
  2. Step 2: Convert to fraction form
    270.26/372.97 = 225.91/x
  3. Step 3: Cross multiply
    270.26x = 372.97 × 225.91
  4. Step 4: Simplify right side
    270.26x = 84,258.50
  5. Step 5: Solve for x
    x = 84,258.50/270.26
  6. Step 6: Final answer
    x = 311.77

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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.