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Finding the Fourth Proportional to 191.22, 262.31 and 186.15

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Solution

The fourth proportional to 191.22, 262.31 and 186.15 is: 255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.22 : 262.31 = 186.15 : x
  2. Step 2: Convert to fraction form
    191.22/262.31 = 186.15/x
  3. Step 3: Cross multiply
    191.22x = 262.31 × 186.15
  4. Step 4: Simplify right side
    191.22x = 48,829.47
  5. Step 5: Solve for x
    x = 48,829.47/191.22
  6. Step 6: Final answer
    x = 255.36

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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.