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Finding the Fourth Proportional to 515.83, 774.07 and 241.95

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Solution

The fourth proportional to 515.83, 774.07 and 241.95 is: 363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.83 : 774.07 = 241.95 : x
  2. Step 2: Convert to fraction form
    515.83/774.07 = 241.95/x
  3. Step 3: Cross multiply
    515.83x = 774.07 × 241.95
  4. Step 4: Simplify right side
    515.83x = 187,286.24
  5. Step 5: Solve for x
    x = 187,286.24/515.83
  6. Step 6: Final answer
    x = 363.08

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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.