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Finding the Fourth Proportional to 344.05, 515.89 and 112.79

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Solution

The fourth proportional to 344.05, 515.89 and 112.79 is: 169.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.05 : 515.89 = 112.79 : x
  2. Step 2: Convert to fraction form
    344.05/515.89 = 112.79/x
  3. Step 3: Cross multiply
    344.05x = 515.89 × 112.79
  4. Step 4: Simplify right side
    344.05x = 58,185.76
  5. Step 5: Solve for x
    x = 58,185.76/344.05
  6. Step 6: Final answer
    x = 169.12

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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.