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Finding the Fourth Proportional to 198.17, 295.68 and 177.65

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Solution

The fourth proportional to 198.17, 295.68 and 177.65 is: 265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.17 : 295.68 = 177.65 : x
  2. Step 2: Convert to fraction form
    198.17/295.68 = 177.65/x
  3. Step 3: Cross multiply
    198.17x = 295.68 × 177.65
  4. Step 4: Simplify right side
    198.17x = 52,527.55
  5. Step 5: Solve for x
    x = 52,527.55/198.17
  6. Step 6: Final answer
    x = 265.06

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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.