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Finding the Fourth Proportional to 270.82, 372.96 and 205.20

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Solution

The fourth proportional to 270.82, 372.96 and 205.20 is: 282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.82 : 372.96 = 205.20 : x
  2. Step 2: Convert to fraction form
    270.82/372.96 = 205.20/x
  3. Step 3: Cross multiply
    270.82x = 372.96 × 205.20
  4. Step 4: Simplify right side
    270.82x = 76,531.39
  5. Step 5: Solve for x
    x = 76,531.39/270.82
  6. Step 6: Final answer
    x = 282.59

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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.