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Finding the Fourth Proportional to 412.29, 568.89 and 254.95

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Solution

The fourth proportional to 412.29, 568.89 and 254.95 is: 351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.29 : 568.89 = 254.95 : x
  2. Step 2: Convert to fraction form
    412.29/568.89 = 254.95/x
  3. Step 3: Cross multiply
    412.29x = 568.89 × 254.95
  4. Step 4: Simplify right side
    412.29x = 145,037.08
  5. Step 5: Solve for x
    x = 145,037.08/412.29
  6. Step 6: Final answer
    x = 351.78

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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.