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Finding the Fourth Proportional to 412.17, 568.60 and 279.44

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Solution

The fourth proportional to 412.17, 568.60 and 279.44 is: 385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.17 : 568.60 = 279.44 : x
  2. Step 2: Convert to fraction form
    412.17/568.60 = 279.44/x
  3. Step 3: Cross multiply
    412.17x = 568.60 × 279.44
  4. Step 4: Simplify right side
    412.17x = 158,889.58
  5. Step 5: Solve for x
    x = 158,889.58/412.17
  6. Step 6: Final answer
    x = 385.50

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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.