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Finding the Fourth Proportional to 411.14, 567.41 and 245.43

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Solution

The fourth proportional to 411.14, 567.41 and 245.43 is: 338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.14 : 567.41 = 245.43 : x
  2. Step 2: Convert to fraction form
    411.14/567.41 = 245.43/x
  3. Step 3: Cross multiply
    411.14x = 567.41 × 245.43
  4. Step 4: Simplify right side
    411.14x = 139,258.21
  5. Step 5: Solve for x
    x = 139,258.21/411.14
  6. Step 6: Final answer
    x = 338.71

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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.