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Finding the Fourth Proportional to 191.28, 286.95 and 69.56

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Solution

The fourth proportional to 191.28, 286.95 and 69.56 is: 104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.28 : 286.95 = 69.56 : x
  2. Step 2: Convert to fraction form
    191.28/286.95 = 69.56/x
  3. Step 3: Cross multiply
    191.28x = 286.95 × 69.56
  4. Step 4: Simplify right side
    191.28x = 19,958.81
  5. Step 5: Solve for x
    x = 19,958.81/191.28
  6. Step 6: Final answer
    x = 104.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.