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Finding the Fourth Proportional to 379.49, 569.03 and 257.78

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Solution

The fourth proportional to 379.49, 569.03 and 257.78 is: 386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.49 : 569.03 = 257.78 : x
  2. Step 2: Convert to fraction form
    379.49/569.03 = 257.78/x
  3. Step 3: Cross multiply
    379.49x = 569.03 × 257.78
  4. Step 4: Simplify right side
    379.49x = 146,684.69
  5. Step 5: Solve for x
    x = 146,684.69/379.49
  6. Step 6: Final answer
    x = 386.54

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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.