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Finding the Fourth Proportional to 191.56, 286.73 and 137.19

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Solution

The fourth proportional to 191.56, 286.73 and 137.19 is: 205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.56 : 286.73 = 137.19 : x
  2. Step 2: Convert to fraction form
    191.56/286.73 = 137.19/x
  3. Step 3: Cross multiply
    191.56x = 286.73 × 137.19
  4. Step 4: Simplify right side
    191.56x = 39,336.49
  5. Step 5: Solve for x
    x = 39,336.49/191.56
  6. Step 6: Final answer
    x = 205.35

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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.