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Finding the Fourth Proportional to 379.09, 564.82 and 354.25

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Solution

The fourth proportional to 379.09, 564.82 and 354.25 is: 527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.09 : 564.82 = 354.25 : x
  2. Step 2: Convert to fraction form
    379.09/564.82 = 354.25/x
  3. Step 3: Cross multiply
    379.09x = 564.82 × 354.25
  4. Step 4: Simplify right side
    379.09x = 200,087.49
  5. Step 5: Solve for x
    x = 200,087.49/379.09
  6. Step 6: Final answer
    x = 527.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.