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Finding the Fourth Proportional to 199.60, 300.86 and 191.36

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Solution

The fourth proportional to 199.60, 300.86 and 191.36 is: 288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.60 : 300.86 = 191.36 : x
  2. Step 2: Convert to fraction form
    199.60/300.86 = 191.36/x
  3. Step 3: Cross multiply
    199.60x = 300.86 × 191.36
  4. Step 4: Simplify right side
    199.60x = 57,572.57
  5. Step 5: Solve for x
    x = 57,572.57/199.60
  6. Step 6: Final answer
    x = 288.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.