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Finding the Fourth Proportional to 515.31, 772.80 and 190.62

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Solution

The fourth proportional to 515.31, 772.80 and 190.62 is: 285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.31 : 772.80 = 190.62 : x
  2. Step 2: Convert to fraction form
    515.31/772.80 = 190.62/x
  3. Step 3: Cross multiply
    515.31x = 772.80 × 190.62
  4. Step 4: Simplify right side
    515.31x = 147,311.14
  5. Step 5: Solve for x
    x = 147,311.14/515.31
  6. Step 6: Final answer
    x = 285.87

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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.