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Finding the Fourth Proportional to 191.54, 263.69 and 166.95

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Solution

The fourth proportional to 191.54, 263.69 and 166.95 is: 229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.54 : 263.69 = 166.95 : x
  2. Step 2: Convert to fraction form
    191.54/263.69 = 166.95/x
  3. Step 3: Cross multiply
    191.54x = 263.69 × 166.95
  4. Step 4: Simplify right side
    191.54x = 44,022.21
  5. Step 5: Solve for x
    x = 44,022.21/191.54
  6. Step 6: Final answer
    x = 229.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.