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Finding the Fourth Proportional to 515.12, 773.01 and 206.92

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Solution

The fourth proportional to 515.12, 773.01 and 206.92 is: 310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.12 : 773.01 = 206.92 : x
  2. Step 2: Convert to fraction form
    515.12/773.01 = 206.92/x
  3. Step 3: Cross multiply
    515.12x = 773.01 × 206.92
  4. Step 4: Simplify right side
    515.12x = 159,951.23
  5. Step 5: Solve for x
    x = 159,951.23/515.12
  6. Step 6: Final answer
    x = 310.51

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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.