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Finding the Fourth Proportional to 411.88, 568.26 and 256.68

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Solution

The fourth proportional to 411.88, 568.26 and 256.68 is: 354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.88 : 568.26 = 256.68 : x
  2. Step 2: Convert to fraction form
    411.88/568.26 = 256.68/x
  3. Step 3: Cross multiply
    411.88x = 568.26 × 256.68
  4. Step 4: Simplify right side
    411.88x = 145,860.98
  5. Step 5: Solve for x
    x = 145,860.98/411.88
  6. Step 6: Final answer
    x = 354.13

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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.