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Finding the Fourth Proportional to 344.75, 516.96 and 128.25

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Solution

The fourth proportional to 344.75, 516.96 and 128.25 is: 192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.75 : 516.96 = 128.25 : x
  2. Step 2: Convert to fraction form
    344.75/516.96 = 128.25/x
  3. Step 3: Cross multiply
    344.75x = 516.96 × 128.25
  4. Step 4: Simplify right side
    344.75x = 66,300.12
  5. Step 5: Solve for x
    x = 66,300.12/344.75
  6. Step 6: Final answer
    x = 192.32

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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.