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Finding the Fourth Proportional to 411.40, 567.42 and 256

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Solution

The fourth proportional to 411.40, 567.42 and 256 is: 353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.40 : 567.42 = 256 : x
  2. Step 2: Convert to fraction form
    411.40/567.42 = 256/x
  3. Step 3: Cross multiply
    411.40x = 567.42 × 256
  4. Step 4: Simplify right side
    411.40x = 145,259.52
  5. Step 5: Solve for x
    x = 145,259.52/411.40
  6. Step 6: Final answer
    x = 353.09

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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.