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Finding the Fourth Proportional to 199.39, 276.44 and 188.45

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Solution

The fourth proportional to 199.39, 276.44 and 188.45 is: 261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.39 : 276.44 = 188.45 : x
  2. Step 2: Convert to fraction form
    199.39/276.44 = 188.45/x
  3. Step 3: Cross multiply
    199.39x = 276.44 × 188.45
  4. Step 4: Simplify right side
    199.39x = 52,095.12
  5. Step 5: Solve for x
    x = 52,095.12/199.39
  6. Step 6: Final answer
    x = 261.27

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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.