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Finding the Fourth Proportional to 411.49, 567.64 and 255.97

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Solution

The fourth proportional to 411.49, 567.64 and 255.97 is: 353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.49 : 567.64 = 255.97 : x
  2. Step 2: Convert to fraction form
    411.49/567.64 = 255.97/x
  3. Step 3: Cross multiply
    411.49x = 567.64 × 255.97
  4. Step 4: Simplify right side
    411.49x = 145,298.81
  5. Step 5: Solve for x
    x = 145,298.81/411.49
  6. Step 6: Final answer
    x = 353.10

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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.