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Finding the Fourth Proportional to 199.69, 275.72 and 129.79

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Solution

The fourth proportional to 199.69, 275.72 and 129.79 is: 179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.69 : 275.72 = 129.79 : x
  2. Step 2: Convert to fraction form
    199.69/275.72 = 129.79/x
  3. Step 3: Cross multiply
    199.69x = 275.72 × 129.79
  4. Step 4: Simplify right side
    199.69x = 35,785.70
  5. Step 5: Solve for x
    x = 35,785.70/199.69
  6. Step 6: Final answer
    x = 179.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.