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Finding the Fourth Proportional to 379.35, 568.94 and 257.58

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Solution

The fourth proportional to 379.35, 568.94 and 257.58 is: 386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.35 : 568.94 = 257.58 : x
  2. Step 2: Convert to fraction form
    379.35/568.94 = 257.58/x
  3. Step 3: Cross multiply
    379.35x = 568.94 × 257.58
  4. Step 4: Simplify right side
    379.35x = 146,546.28
  5. Step 5: Solve for x
    x = 146,546.28/379.35
  6. Step 6: Final answer
    x = 386.31

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