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Finding the Fourth Proportional to 299.12, 412.80 and 257.88

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Solution

The fourth proportional to 299.12, 412.80 and 257.88 is: 355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.12 : 412.80 = 257.88 : x
  2. Step 2: Convert to fraction form
    299.12/412.80 = 257.88/x
  3. Step 3: Cross multiply
    299.12x = 412.80 × 257.88
  4. Step 4: Simplify right side
    299.12x = 106,453.44
  5. Step 5: Solve for x
    x = 106,453.44/299.12
  6. Step 6: Final answer
    x = 355.89

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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.