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Finding the Fourth Proportional to 191.24, 262.19 and 187.78

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Solution

The fourth proportional to 191.24, 262.19 and 187.78 is: 257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.24 : 262.19 = 187.78 : x
  2. Step 2: Convert to fraction form
    191.24/262.19 = 187.78/x
  3. Step 3: Cross multiply
    191.24x = 262.19 × 187.78
  4. Step 4: Simplify right side
    191.24x = 49,234.04
  5. Step 5: Solve for x
    x = 49,234.04/191.24
  6. Step 6: Final answer
    x = 257.45

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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.