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Finding the Fourth Proportional to 379.26, 569.25 and 257.67

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Solution

The fourth proportional to 379.26, 569.25 and 257.67 is: 386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.26 : 569.25 = 257.67 : x
  2. Step 2: Convert to fraction form
    379.26/569.25 = 257.67/x
  3. Step 3: Cross multiply
    379.26x = 569.25 × 257.67
  4. Step 4: Simplify right side
    379.26x = 146,678.65
  5. Step 5: Solve for x
    x = 146,678.65/379.26
  6. Step 6: Final answer
    x = 386.75

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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.