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Finding the Fourth Proportional to 275.20, 410.78 and 256.96

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Solution

The fourth proportional to 275.20, 410.78 and 256.96 is: 383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.20 : 410.78 = 256.96 : x
  2. Step 2: Convert to fraction form
    275.20/410.78 = 256.96/x
  3. Step 3: Cross multiply
    275.20x = 410.78 × 256.96
  4. Step 4: Simplify right side
    275.20x = 105,554.03
  5. Step 5: Solve for x
    x = 105,554.03/275.20
  6. Step 6: Final answer
    x = 383.55

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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.