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Finding the Fourth Proportional to 379.87, 569.62 and 136.30

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Solution

The fourth proportional to 379.87, 569.62 and 136.30 is: 204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.87 : 569.62 = 136.30 : x
  2. Step 2: Convert to fraction form
    379.87/569.62 = 136.30/x
  3. Step 3: Cross multiply
    379.87x = 569.62 × 136.30
  4. Step 4: Simplify right side
    379.87x = 77,639.21
  5. Step 5: Solve for x
    x = 77,639.21/379.87
  6. Step 6: Final answer
    x = 204.38

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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.