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Finding the Fourth Proportional to 515.71, 773.56 and 130.96

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Solution

The fourth proportional to 515.71, 773.56 and 130.96 is: 196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.71 : 773.56 = 130.96 : x
  2. Step 2: Convert to fraction form
    515.71/773.56 = 130.96/x
  3. Step 3: Cross multiply
    515.71x = 773.56 × 130.96
  4. Step 4: Simplify right side
    515.71x = 101,304.76
  5. Step 5: Solve for x
    x = 101,304.76/515.71
  6. Step 6: Final answer
    x = 196.44

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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.