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Finding the Fourth Proportional to 516.84, 775 and 243.06

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Solution

The fourth proportional to 516.84, 775 and 243.06 is: 364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.84 : 775 = 243.06 : x
  2. Step 2: Convert to fraction form
    516.84/775 = 243.06/x
  3. Step 3: Cross multiply
    516.84x = 775 × 243.06
  4. Step 4: Simplify right side
    516.84x = 188,371.50
  5. Step 5: Solve for x
    x = 188,371.50/516.84
  6. Step 6: Final answer
    x = 364.47

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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.