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Finding the Fourth Proportional to 344.32, 516.42 and 190.40

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Solution

The fourth proportional to 344.32, 516.42 and 190.40 is: 285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.32 : 516.42 = 190.40 : x
  2. Step 2: Convert to fraction form
    344.32/516.42 = 190.40/x
  3. Step 3: Cross multiply
    344.32x = 516.42 × 190.40
  4. Step 4: Simplify right side
    344.32x = 98,326.37
  5. Step 5: Solve for x
    x = 98,326.37/344.32
  6. Step 6: Final answer
    x = 285.57

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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.