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Finding the Fourth Proportional to 198.39, 275.05 and 187.45

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Solution

The fourth proportional to 198.39, 275.05 and 187.45 is: 259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.39 : 275.05 = 187.45 : x
  2. Step 2: Convert to fraction form
    198.39/275.05 = 187.45/x
  3. Step 3: Cross multiply
    198.39x = 275.05 × 187.45
  4. Step 4: Simplify right side
    198.39x = 51,558.12
  5. Step 5: Solve for x
    x = 51,558.12/198.39
  6. Step 6: Final answer
    x = 259.88

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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.