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Finding the Fourth Proportional to 386.14, 579.03 and 142.49

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Solution

The fourth proportional to 386.14, 579.03 and 142.49 is: 213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.14 : 579.03 = 142.49 : x
  2. Step 2: Convert to fraction form
    386.14/579.03 = 142.49/x
  3. Step 3: Cross multiply
    386.14x = 579.03 × 142.49
  4. Step 4: Simplify right side
    386.14x = 82,505.98
  5. Step 5: Solve for x
    x = 82,505.98/386.14
  6. Step 6: Final answer
    x = 213.67

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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.