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Finding the Fourth Proportional to 386.14, 579.28 and 142.63

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Solution

The fourth proportional to 386.14, 579.28 and 142.63 is: 213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.14 : 579.28 = 142.63 : x
  2. Step 2: Convert to fraction form
    386.14/579.28 = 142.63/x
  3. Step 3: Cross multiply
    386.14x = 579.28 × 142.63
  4. Step 4: Simplify right side
    386.14x = 82,622.71
  5. Step 5: Solve for x
    x = 82,622.71/386.14
  6. Step 6: Final answer
    x = 213.97

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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.