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Finding the Fourth Proportional to 198.55, 295.68 and 186.76

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Solution

The fourth proportional to 198.55, 295.68 and 186.76 is: 278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.55 : 295.68 = 186.76 : x
  2. Step 2: Convert to fraction form
    198.55/295.68 = 186.76/x
  3. Step 3: Cross multiply
    198.55x = 295.68 × 186.76
  4. Step 4: Simplify right side
    198.55x = 55,221.20
  5. Step 5: Solve for x
    x = 55,221.20/198.55
  6. Step 6: Final answer
    x = 278.12

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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.