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Finding the Fourth Proportional to 386.72, 580.32 and 143.27

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Solution

The fourth proportional to 386.72, 580.32 and 143.27 is: 214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.72 : 580.32 = 143.27 : x
  2. Step 2: Convert to fraction form
    386.72/580.32 = 143.27/x
  3. Step 3: Cross multiply
    386.72x = 580.32 × 143.27
  4. Step 4: Simplify right side
    386.72x = 83,139.54
  5. Step 5: Solve for x
    x = 83,139.54/386.72
  6. Step 6: Final answer
    x = 214.99

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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.