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Finding the Fourth Proportional to 198.79, 296.41 and 198.52

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Solution

The fourth proportional to 198.79, 296.41 and 198.52 is: 296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.79 : 296.41 = 198.52 : x
  2. Step 2: Convert to fraction form
    198.79/296.41 = 198.52/x
  3. Step 3: Cross multiply
    198.79x = 296.41 × 198.52
  4. Step 4: Simplify right side
    198.79x = 58,843.31
  5. Step 5: Solve for x
    x = 58,843.31/198.79
  6. Step 6: Final answer
    x = 296.01

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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.