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Finding the Fourth Proportional to 515.52, 772.77 and 241.38

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Solution

The fourth proportional to 515.52, 772.77 and 241.38 is: 361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.52 : 772.77 = 241.38 : x
  2. Step 2: Convert to fraction form
    515.52/772.77 = 241.38/x
  3. Step 3: Cross multiply
    515.52x = 772.77 × 241.38
  4. Step 4: Simplify right side
    515.52x = 186,531.22
  5. Step 5: Solve for x
    x = 186,531.22/515.52
  6. Step 6: Final answer
    x = 361.83

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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.