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Finding the Fourth Proportional to 272.71, 406.67 and 270.28

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Solution

The fourth proportional to 272.71, 406.67 and 270.28 is: 403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.71 : 406.67 = 270.28 : x
  2. Step 2: Convert to fraction form
    272.71/406.67 = 270.28/x
  3. Step 3: Cross multiply
    272.71x = 406.67 × 270.28
  4. Step 4: Simplify right side
    272.71x = 109,914.77
  5. Step 5: Solve for x
    x = 109,914.77/272.71
  6. Step 6: Final answer
    x = 403.05

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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.