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Finding the Fourth Proportional to 286.22, 429.32 and 91.27

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Solution

The fourth proportional to 286.22, 429.32 and 91.27 is: 136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.22 : 429.32 = 91.27 : x
  2. Step 2: Convert to fraction form
    286.22/429.32 = 91.27/x
  3. Step 3: Cross multiply
    286.22x = 429.32 × 91.27
  4. Step 4: Simplify right side
    286.22x = 39,183.19
  5. Step 5: Solve for x
    x = 39,183.19/286.22
  6. Step 6: Final answer
    x = 136.90

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Why These Related Problems?

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