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Finding the Fourth Proportional to 344.76, 516.07 and 322.28

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Solution

The fourth proportional to 344.76, 516.07 and 322.28 is: 482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.76 : 516.07 = 322.28 : x
  2. Step 2: Convert to fraction form
    344.76/516.07 = 322.28/x
  3. Step 3: Cross multiply
    344.76x = 516.07 × 322.28
  4. Step 4: Simplify right side
    344.76x = 166,318.80
  5. Step 5: Solve for x
    x = 166,318.80/344.76
  6. Step 6: Final answer
    x = 482.42

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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.