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Finding the Fourth Proportional to 342.73, 516.41 and 283.20

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Solution

The fourth proportional to 342.73, 516.41 and 283.20 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.73 : 516.41 = 283.20 : x
  2. Step 2: Convert to fraction form
    342.73/516.41 = 283.20/x
  3. Step 3: Cross multiply
    342.73x = 516.41 × 283.20
  4. Step 4: Simplify right side
    342.73x = 146,244.73
  5. Step 5: Solve for x
    x = 146,244.73/342.73
  6. Step 6: Final answer
    x = 426.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.