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Finding the Fourth Proportional to 272.56, 405.92 and 256

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Solution

The fourth proportional to 272.56, 405.92 and 256 is: 381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.56 : 405.92 = 256 : x
  2. Step 2: Convert to fraction form
    272.56/405.92 = 256/x
  3. Step 3: Cross multiply
    272.56x = 405.92 × 256
  4. Step 4: Simplify right side
    272.56x = 103,915.52
  5. Step 5: Solve for x
    x = 103,915.52/272.56
  6. Step 6: Final answer
    x = 381.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.