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Finding the Fourth Proportional to 411.51, 568.10 and 279.43

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Solution

The fourth proportional to 411.51, 568.10 and 279.43 is: 385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.51 : 568.10 = 279.43 : x
  2. Step 2: Convert to fraction form
    411.51/568.10 = 279.43/x
  3. Step 3: Cross multiply
    411.51x = 568.10 × 279.43
  4. Step 4: Simplify right side
    411.51x = 158,745.59
  5. Step 5: Solve for x
    x = 158,745.59/411.51
  6. Step 6: Final answer
    x = 385.76

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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.