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Finding the Fourth Proportional to 270.82, 405.36 and 245.56

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Solution

The fourth proportional to 270.82, 405.36 and 245.56 is: 367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.82 : 405.36 = 245.56 : x
  2. Step 2: Convert to fraction form
    270.82/405.36 = 245.56/x
  3. Step 3: Cross multiply
    270.82x = 405.36 × 245.56
  4. Step 4: Simplify right side
    270.82x = 99,540.20
  5. Step 5: Solve for x
    x = 99,540.20/270.82
  6. Step 6: Final answer
    x = 367.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.