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Finding the Fourth Proportional to 386.43, 580 and 181.12

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Solution

The fourth proportional to 386.43, 580 and 181.12 is: 271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.43 : 580 = 181.12 : x
  2. Step 2: Convert to fraction form
    386.43/580 = 181.12/x
  3. Step 3: Cross multiply
    386.43x = 580 × 181.12
  4. Step 4: Simplify right side
    386.43x = 105,049.60
  5. Step 5: Solve for x
    x = 105,049.60/386.43
  6. Step 6: Final answer
    x = 271.85

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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.