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Finding the Fourth Proportional to 379.41, 564.97 and 365.58

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Solution

The fourth proportional to 379.41, 564.97 and 365.58 is: 544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.41 : 564.97 = 365.58 : x
  2. Step 2: Convert to fraction form
    379.41/564.97 = 365.58/x
  3. Step 3: Cross multiply
    379.41x = 564.97 × 365.58
  4. Step 4: Simplify right side
    379.41x = 206,541.73
  5. Step 5: Solve for x
    x = 206,541.73/379.41
  6. Step 6: Final answer
    x = 544.38

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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.