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Finding the Fourth Proportional to 379.26, 568.80 and 257.58

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Solution

The fourth proportional to 379.26, 568.80 and 257.58 is: 386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.26 : 568.80 = 257.58 : x
  2. Step 2: Convert to fraction form
    379.26/568.80 = 257.58/x
  3. Step 3: Cross multiply
    379.26x = 568.80 × 257.58
  4. Step 4: Simplify right side
    379.26x = 146,511.50
  5. Step 5: Solve for x
    x = 146,511.50/379.26
  6. Step 6: Final answer
    x = 386.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.