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Finding the Fourth Proportional to 191.08, 286.74 and 189.54

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Solution

The fourth proportional to 191.08, 286.74 and 189.54 is: 284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.08 : 286.74 = 189.54 : x
  2. Step 2: Convert to fraction form
    191.08/286.74 = 189.54/x
  3. Step 3: Cross multiply
    191.08x = 286.74 × 189.54
  4. Step 4: Simplify right side
    191.08x = 54,348.70
  5. Step 5: Solve for x
    x = 54,348.70/191.08
  6. Step 6: Final answer
    x = 284.42

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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.