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Finding the Fourth Proportional to 515.29, 772.97 and 168.53

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Solution

The fourth proportional to 515.29, 772.97 and 168.53 is: 252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.29 : 772.97 = 168.53 : x
  2. Step 2: Convert to fraction form
    515.29/772.97 = 168.53/x
  3. Step 3: Cross multiply
    515.29x = 772.97 × 168.53
  4. Step 4: Simplify right side
    515.29x = 130,268.21
  5. Step 5: Solve for x
    x = 130,268.21/515.29
  6. Step 6: Final answer
    x = 252.81

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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.