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Finding the Fourth Proportional to 199.14, 276.08 and 188.20

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Solution

The fourth proportional to 199.14, 276.08 and 188.20 is: 260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.14 : 276.08 = 188.20 : x
  2. Step 2: Convert to fraction form
    199.14/276.08 = 188.20/x
  3. Step 3: Cross multiply
    199.14x = 276.08 × 188.20
  4. Step 4: Simplify right side
    199.14x = 51,958.26
  5. Step 5: Solve for x
    x = 51,958.26/199.14
  6. Step 6: Final answer
    x = 260.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.