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Finding the Fourth Proportional to 272.91, 407.58 and 270.09

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Solution

The fourth proportional to 272.91, 407.58 and 270.09 is: 403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.91 : 407.58 = 270.09 : x
  2. Step 2: Convert to fraction form
    272.91/407.58 = 270.09/x
  3. Step 3: Cross multiply
    272.91x = 407.58 × 270.09
  4. Step 4: Simplify right side
    272.91x = 110,083.28
  5. Step 5: Solve for x
    x = 110,083.28/272.91
  6. Step 6: Final answer
    x = 403.37

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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.