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Finding the Fourth Proportional to 379.89, 569.91 and 136.38

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Solution

The fourth proportional to 379.89, 569.91 and 136.38 is: 204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.89 : 569.91 = 136.38 : x
  2. Step 2: Convert to fraction form
    379.89/569.91 = 136.38/x
  3. Step 3: Cross multiply
    379.89x = 569.91 × 136.38
  4. Step 4: Simplify right side
    379.89x = 77,724.33
  5. Step 5: Solve for x
    x = 77,724.33/379.89
  6. Step 6: Final answer
    x = 204.60

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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.