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Finding the Fourth Proportional to 199.88, 297.94 and 186.20

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Solution

The fourth proportional to 199.88, 297.94 and 186.20 is: 277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.88 : 297.94 = 186.20 : x
  2. Step 2: Convert to fraction form
    199.88/297.94 = 186.20/x
  3. Step 3: Cross multiply
    199.88x = 297.94 × 186.20
  4. Step 4: Simplify right side
    199.88x = 55,476.43
  5. Step 5: Solve for x
    x = 55,476.43/199.88
  6. Step 6: Final answer
    x = 277.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.