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Finding the Fourth Proportional to 411.50, 567.64 and 254.22

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Solution

The fourth proportional to 411.50, 567.64 and 254.22 is: 350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.50 : 567.64 = 254.22 : x
  2. Step 2: Convert to fraction form
    411.50/567.64 = 254.22/x
  3. Step 3: Cross multiply
    411.50x = 567.64 × 254.22
  4. Step 4: Simplify right side
    411.50x = 144,305.44
  5. Step 5: Solve for x
    x = 144,305.44/411.50
  6. Step 6: Final answer
    x = 350.68

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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.