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Finding the Fourth Proportional to 199.68, 275.08 and 190.45

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Solution

The fourth proportional to 199.68, 275.08 and 190.45 is: 262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.68 : 275.08 = 190.45 : x
  2. Step 2: Convert to fraction form
    199.68/275.08 = 190.45/x
  3. Step 3: Cross multiply
    199.68x = 275.08 × 190.45
  4. Step 4: Simplify right side
    199.68x = 52,390.01
  5. Step 5: Solve for x
    x = 52,390.01/199.68
  6. Step 6: Final answer
    x = 262.37

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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.