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Finding the Fourth Proportional to 191.83, 289.16 and 179.29

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Solution

The fourth proportional to 191.83, 289.16 and 179.29 is: 270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.83 : 289.16 = 179.29 : x
  2. Step 2: Convert to fraction form
    191.83/289.16 = 179.29/x
  3. Step 3: Cross multiply
    191.83x = 289.16 × 179.29
  4. Step 4: Simplify right side
    191.83x = 51,843.50
  5. Step 5: Solve for x
    x = 51,843.50/191.83
  6. Step 6: Final answer
    x = 270.26

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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.