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Finding the Fourth Proportional to 191.56, 287.42 and 105.96

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Solution

The fourth proportional to 191.56, 287.42 and 105.96 is: 158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.56 : 287.42 = 105.96 : x
  2. Step 2: Convert to fraction form
    191.56/287.42 = 105.96/x
  3. Step 3: Cross multiply
    191.56x = 287.42 × 105.96
  4. Step 4: Simplify right side
    191.56x = 30,455.02
  5. Step 5: Solve for x
    x = 30,455.02/191.56
  6. Step 6: Final answer
    x = 158.98

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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.