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Finding the Fourth Proportional to 198.24, 296.58 and 171.48

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Solution

The fourth proportional to 198.24, 296.58 and 171.48 is: 256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.24 : 296.58 = 171.48 : x
  2. Step 2: Convert to fraction form
    198.24/296.58 = 171.48/x
  3. Step 3: Cross multiply
    198.24x = 296.58 × 171.48
  4. Step 4: Simplify right side
    198.24x = 50,857.54
  5. Step 5: Solve for x
    x = 50,857.54/198.24
  6. Step 6: Final answer
    x = 256.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.