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Finding the Fourth Proportional to 379.66, 569.31 and 249.66

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Solution

The fourth proportional to 379.66, 569.31 and 249.66 is: 374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.66 : 569.31 = 249.66 : x
  2. Step 2: Convert to fraction form
    379.66/569.31 = 249.66/x
  3. Step 3: Cross multiply
    379.66x = 569.31 × 249.66
  4. Step 4: Simplify right side
    379.66x = 142,133.93
  5. Step 5: Solve for x
    x = 142,133.93/379.66
  6. Step 6: Final answer
    x = 374.37

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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.