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Finding the Fourth Proportional to 411.00, 567.19 and 245.38

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Solution

The fourth proportional to 411.00, 567.19 and 245.38 is: 338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.00 : 567.19 = 245.38 : x
  2. Step 2: Convert to fraction form
    411.00/567.19 = 245.38/x
  3. Step 3: Cross multiply
    411.00x = 567.19 × 245.38
  4. Step 4: Simplify right side
    411.00x = 139,173.02
  5. Step 5: Solve for x
    x = 139,173.02/411.00
  6. Step 6: Final answer
    x = 338.62

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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.