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Finding the Fourth Proportional to 272.22, 374.36 and 219.10

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Solution

The fourth proportional to 272.22, 374.36 and 219.10 is: 301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.22 : 374.36 = 219.10 : x
  2. Step 2: Convert to fraction form
    272.22/374.36 = 219.10/x
  3. Step 3: Cross multiply
    272.22x = 374.36 × 219.10
  4. Step 4: Simplify right side
    272.22x = 82,022.28
  5. Step 5: Solve for x
    x = 82,022.28/272.22
  6. Step 6: Final answer
    x = 301.31

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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.