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Finding the Fourth Proportional to 516.82, 775.37 and 256.81

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Solution

The fourth proportional to 516.82, 775.37 and 256.81 is: 385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.82 : 775.37 = 256.81 : x
  2. Step 2: Convert to fraction form
    516.82/775.37 = 256.81/x
  3. Step 3: Cross multiply
    516.82x = 775.37 × 256.81
  4. Step 4: Simplify right side
    516.82x = 199,122.77
  5. Step 5: Solve for x
    x = 199,122.77/516.82
  6. Step 6: Final answer
    x = 385.28

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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.