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Finding the Fourth Proportional to 191.12, 285.22 and 186.26

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Solution

The fourth proportional to 191.12, 285.22 and 186.26 is: 277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.12 : 285.22 = 186.26 : x
  2. Step 2: Convert to fraction form
    191.12/285.22 = 186.26/x
  3. Step 3: Cross multiply
    191.12x = 285.22 × 186.26
  4. Step 4: Simplify right side
    191.12x = 53,125.54
  5. Step 5: Solve for x
    x = 53,125.54/191.12
  6. Step 6: Final answer
    x = 277.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.