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Finding the Fourth Proportional to 275.10, 410.22 and 272.63

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Solution

The fourth proportional to 275.10, 410.22 and 272.63 is: 406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.10 : 410.22 = 272.63 : x
  2. Step 2: Convert to fraction form
    275.10/410.22 = 272.63/x
  3. Step 3: Cross multiply
    275.10x = 410.22 × 272.63
  4. Step 4: Simplify right side
    275.10x = 111,836.23
  5. Step 5: Solve for x
    x = 111,836.23/275.10
  6. Step 6: Final answer
    x = 406.53

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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.