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Finding the Fourth Proportional to 275.67, 411.21 and 272.16

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Solution

The fourth proportional to 275.67, 411.21 and 272.16 is: 405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.67 : 411.21 = 272.16 : x
  2. Step 2: Convert to fraction form
    275.67/411.21 = 272.16/x
  3. Step 3: Cross multiply
    275.67x = 411.21 × 272.16
  4. Step 4: Simplify right side
    275.67x = 111,914.91
  5. Step 5: Solve for x
    x = 111,914.91/275.67
  6. Step 6: Final answer
    x = 405.97

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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.