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Finding the Fourth Proportional to 275.22, 410.82 and 256.20

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Solution

The fourth proportional to 275.22, 410.82 and 256.20 is: 382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.22 : 410.82 = 256.20 : x
  2. Step 2: Convert to fraction form
    275.22/410.82 = 256.20/x
  3. Step 3: Cross multiply
    275.22x = 410.82 × 256.20
  4. Step 4: Simplify right side
    275.22x = 105,252.08
  5. Step 5: Solve for x
    x = 105,252.08/275.22
  6. Step 6: Final answer
    x = 382.43

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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.