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Finding the Fourth Proportional to 286.86, 431.11 and 191.28

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Solution

The fourth proportional to 286.86, 431.11 and 191.28 is: 287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.86 : 431.11 = 191.28 : x
  2. Step 2: Convert to fraction form
    286.86/431.11 = 191.28/x
  3. Step 3: Cross multiply
    286.86x = 431.11 × 191.28
  4. Step 4: Simplify right side
    286.86x = 82,462.72
  5. Step 5: Solve for x
    x = 82,462.72/286.86
  6. Step 6: Final answer
    x = 287.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.