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Finding the Fourth Proportional to 198.57, 296.67 and 191.75

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Solution

The fourth proportional to 198.57, 296.67 and 191.75 is: 286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.57 : 296.67 = 191.75 : x
  2. Step 2: Convert to fraction form
    198.57/296.67 = 191.75/x
  3. Step 3: Cross multiply
    198.57x = 296.67 × 191.75
  4. Step 4: Simplify right side
    198.57x = 56,885.51
  5. Step 5: Solve for x
    x = 56,885.51/198.57
  6. Step 6: Final answer
    x = 286.48

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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.