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Finding the Fourth Proportional to 275.22, 410.40 and 272.78

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Solution

The fourth proportional to 275.22, 410.40 and 272.78 is: 406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.22 : 410.40 = 272.78 : x
  2. Step 2: Convert to fraction form
    275.22/410.40 = 272.78/x
  3. Step 3: Cross multiply
    275.22x = 410.40 × 272.78
  4. Step 4: Simplify right side
    275.22x = 111,948.91
  5. Step 5: Solve for x
    x = 111,948.91/275.22
  6. Step 6: Final answer
    x = 406.76

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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.