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Finding the Fourth Proportional to 191.67, 262.76 and 188.82

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Solution

The fourth proportional to 191.67, 262.76 and 188.82 is: 258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.67 : 262.76 = 188.82 : x
  2. Step 2: Convert to fraction form
    191.67/262.76 = 188.82/x
  3. Step 3: Cross multiply
    191.67x = 262.76 × 188.82
  4. Step 4: Simplify right side
    191.67x = 49,613.40
  5. Step 5: Solve for x
    x = 49,613.40/191.67
  6. Step 6: Final answer
    x = 258.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.