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Finding the Fourth Proportional to 515.96, 773.72 and 256.05

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Solution

The fourth proportional to 515.96, 773.72 and 256.05 is: 383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.96 : 773.72 = 256.05 : x
  2. Step 2: Convert to fraction form
    515.96/773.72 = 256.05/x
  3. Step 3: Cross multiply
    515.96x = 773.72 × 256.05
  4. Step 4: Simplify right side
    515.96x = 198,109.73
  5. Step 5: Solve for x
    x = 198,109.73/515.96
  6. Step 6: Final answer
    x = 383.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.