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Finding the Fourth Proportional to 342.83, 516.60 and 283.30

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Solution

The fourth proportional to 342.83, 516.60 and 283.30 is: 426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.83 : 516.60 = 283.30 : x
  2. Step 2: Convert to fraction form
    342.83/516.60 = 283.30/x
  3. Step 3: Cross multiply
    342.83x = 516.60 × 283.30
  4. Step 4: Simplify right side
    342.83x = 146,351.49
  5. Step 5: Solve for x
    x = 146,351.49/342.83
  6. Step 6: Final answer
    x = 426.89

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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.