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Finding the Fourth Proportional to 193.86, 289.98 and 191.43

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Solution

The fourth proportional to 193.86, 289.98 and 191.43 is: 286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.86 : 289.98 = 191.43 : x
  2. Step 2: Convert to fraction form
    193.86/289.98 = 191.43/x
  3. Step 3: Cross multiply
    193.86x = 289.98 × 191.43
  4. Step 4: Simplify right side
    193.86x = 55,510.87
  5. Step 5: Solve for x
    x = 55,510.87/193.86
  6. Step 6: Final answer
    x = 286.35

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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.