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Finding the Fourth Proportional to 411.10, 566.75 and 279.88

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Solution

The fourth proportional to 411.10, 566.75 and 279.88 is: 385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.10 : 566.75 = 279.88 : x
  2. Step 2: Convert to fraction form
    411.10/566.75 = 279.88/x
  3. Step 3: Cross multiply
    411.10x = 566.75 × 279.88
  4. Step 4: Simplify right side
    411.10x = 158,621.27
  5. Step 5: Solve for x
    x = 158,621.27/411.10
  6. Step 6: Final answer
    x = 385.85

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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.