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Finding the Fourth Proportional to 199.22, 275.42 and 190.61

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Solution

The fourth proportional to 199.22, 275.42 and 190.61 is: 263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.22 : 275.42 = 190.61 : x
  2. Step 2: Convert to fraction form
    199.22/275.42 = 190.61/x
  3. Step 3: Cross multiply
    199.22x = 275.42 × 190.61
  4. Step 4: Simplify right side
    199.22x = 52,495.48
  5. Step 5: Solve for x
    x = 52,495.48/199.22
  6. Step 6: Final answer
    x = 263.51

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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.