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Finding the Fourth Proportional to 275.09, 410.22 and 256.64

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Solution

The fourth proportional to 275.09, 410.22 and 256.64 is: 382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.09 : 410.22 = 256.64 : x
  2. Step 2: Convert to fraction form
    275.09/410.22 = 256.64/x
  3. Step 3: Cross multiply
    275.09x = 410.22 × 256.64
  4. Step 4: Simplify right side
    275.09x = 105,276.81
  5. Step 5: Solve for x
    x = 105,276.81/275.09
  6. Step 6: Final answer
    x = 382.71

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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.