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Finding the Fourth Proportional to 386.32, 579.42 and 142.66

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Solution

The fourth proportional to 386.32, 579.42 and 142.66 is: 213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.32 : 579.42 = 142.66 : x
  2. Step 2: Convert to fraction form
    386.32/579.42 = 142.66/x
  3. Step 3: Cross multiply
    386.32x = 579.42 × 142.66
  4. Step 4: Simplify right side
    386.32x = 82,660.06
  5. Step 5: Solve for x
    x = 82,660.06/386.32
  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.