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Finding the Fourth Proportional to 193.72, 288.65 and 191.86

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Solution

The fourth proportional to 193.72, 288.65 and 191.86 is: 285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.72 : 288.65 = 191.86 : x
  2. Step 2: Convert to fraction form
    193.72/288.65 = 191.86/x
  3. Step 3: Cross multiply
    193.72x = 288.65 × 191.86
  4. Step 4: Simplify right side
    193.72x = 55,380.39
  5. Step 5: Solve for x
    x = 55,380.39/193.72
  6. Step 6: Final answer
    x = 285.88

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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.