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Finding the Fourth Proportional to 388.46, 580.97 and 345.43

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Solution

The fourth proportional to 388.46, 580.97 and 345.43 is: 516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.46 : 580.97 = 345.43 : x
  2. Step 2: Convert to fraction form
    388.46/580.97 = 345.43/x
  3. Step 3: Cross multiply
    388.46x = 580.97 × 345.43
  4. Step 4: Simplify right side
    388.46x = 200,686.06
  5. Step 5: Solve for x
    x = 200,686.06/388.46
  6. Step 6: Final answer
    x = 516.62

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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.