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Finding the Fourth Proportional to 191.85, 262.98 and 187.20

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Solution

The fourth proportional to 191.85, 262.98 and 187.20 is: 256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.85 : 262.98 = 187.20 : x
  2. Step 2: Convert to fraction form
    191.85/262.98 = 187.20/x
  3. Step 3: Cross multiply
    191.85x = 262.98 × 187.20
  4. Step 4: Simplify right side
    191.85x = 49,229.86
  5. Step 5: Solve for x
    x = 49,229.86/191.85
  6. Step 6: Final answer
    x = 256.61

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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.