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Finding the Fourth Proportional to 272.80, 374.12 and 257.44

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Solution

The fourth proportional to 272.80, 374.12 and 257.44 is: 353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.80 : 374.12 = 257.44 : x
  2. Step 2: Convert to fraction form
    272.80/374.12 = 257.44/x
  3. Step 3: Cross multiply
    272.80x = 374.12 × 257.44
  4. Step 4: Simplify right side
    272.80x = 96,313.45
  5. Step 5: Solve for x
    x = 96,313.45/272.80
  6. Step 6: Final answer
    x = 353.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.