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Finding the Fourth Proportional to 411.63, 567.78 and 245.73

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Solution

The fourth proportional to 411.63, 567.78 and 245.73 is: 338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.63 : 567.78 = 245.73 : x
  2. Step 2: Convert to fraction form
    411.63/567.78 = 245.73/x
  3. Step 3: Cross multiply
    411.63x = 567.78 × 245.73
  4. Step 4: Simplify right side
    411.63x = 139,519.35
  5. Step 5: Solve for x
    x = 139,519.35/411.63
  6. Step 6: Final answer
    x = 338.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.