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Finding the Fourth Proportional to 344.80, 516.54 and 200.08

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Solution

The fourth proportional to 344.80, 516.54 and 200.08 is: 299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.80 : 516.54 = 200.08 : x
  2. Step 2: Convert to fraction form
    344.80/516.54 = 200.08/x
  3. Step 3: Cross multiply
    344.80x = 516.54 × 200.08
  4. Step 4: Simplify right side
    344.80x = 103,349.32
  5. Step 5: Solve for x
    x = 103,349.32/344.80
  6. Step 6: Final answer
    x = 299.74

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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.