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Finding the Fourth Proportional to 515.31, 773.28 and 190.95

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Solution

The fourth proportional to 515.31, 773.28 and 190.95 is: 286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.31 : 773.28 = 190.95 : x
  2. Step 2: Convert to fraction form
    515.31/773.28 = 190.95/x
  3. Step 3: Cross multiply
    515.31x = 773.28 × 190.95
  4. Step 4: Simplify right side
    515.31x = 147,657.82
  5. Step 5: Solve for x
    x = 147,657.82/515.31
  6. Step 6: Final answer
    x = 286.54

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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.