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Finding the Fourth Proportional to 191.96, 289.37 and 179.42

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Solution

The fourth proportional to 191.96, 289.37 and 179.42 is: 270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.96 : 289.37 = 179.42 : x
  2. Step 2: Convert to fraction form
    191.96/289.37 = 179.42/x
  3. Step 3: Cross multiply
    191.96x = 289.37 × 179.42
  4. Step 4: Simplify right side
    191.96x = 51,916.42
  5. Step 5: Solve for x
    x = 51,916.42/191.96
  6. Step 6: Final answer
    x = 270.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.