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Finding the Fourth Proportional to 344.88, 516.71 and 320.58

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Solution

The fourth proportional to 344.88, 516.71 and 320.58 is: 480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.88 : 516.71 = 320.58 : x
  2. Step 2: Convert to fraction form
    344.88/516.71 = 320.58/x
  3. Step 3: Cross multiply
    344.88x = 516.71 × 320.58
  4. Step 4: Simplify right side
    344.88x = 165,647.69
  5. Step 5: Solve for x
    x = 165,647.69/344.88
  6. Step 6: Final answer
    x = 480.31

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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.