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Finding the Fourth Proportional to 198.25, 295.50 and 186.40

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Solution

The fourth proportional to 198.25, 295.50 and 186.40 is: 277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.25 : 295.50 = 186.40 : x
  2. Step 2: Convert to fraction form
    198.25/295.50 = 186.40/x
  3. Step 3: Cross multiply
    198.25x = 295.50 × 186.40
  4. Step 4: Simplify right side
    198.25x = 55,081.22
  5. Step 5: Solve for x
    x = 55,081.22/198.25
  6. Step 6: Final answer
    x = 277.84

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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.