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Finding the Fourth Proportional to 516.52, 713.12 and 342.16

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Solution

The fourth proportional to 516.52, 713.12 and 342.16 is: 472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.52 : 713.12 = 342.16 : x
  2. Step 2: Convert to fraction form
    516.52/713.12 = 342.16/x
  3. Step 3: Cross multiply
    516.52x = 713.12 × 342.16
  4. Step 4: Simplify right side
    516.52x = 244,001.14
  5. Step 5: Solve for x
    x = 244,001.14/516.52
  6. Step 6: Final answer
    x = 472.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.