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Finding the Fourth Proportional to 515.22, 772.74 and 190.38

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Solution

The fourth proportional to 515.22, 772.74 and 190.38 is: 285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.22 : 772.74 = 190.38 : x
  2. Step 2: Convert to fraction form
    515.22/772.74 = 190.38/x
  3. Step 3: Cross multiply
    515.22x = 772.74 × 190.38
  4. Step 4: Simplify right side
    515.22x = 147,114.24
  5. Step 5: Solve for x
    x = 147,114.24/515.22
  6. Step 6: Final answer
    x = 285.54

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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.