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Finding the Fourth Proportional to 286.15, 429.20 and 112.81

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Solution

The fourth proportional to 286.15, 429.20 and 112.81 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.15 : 429.20 = 112.81 : x
  2. Step 2: Convert to fraction form
    286.15/429.20 = 112.81/x
  3. Step 3: Cross multiply
    286.15x = 429.20 × 112.81
  4. Step 4: Simplify right side
    286.15x = 48,418.56
  5. Step 5: Solve for x
    x = 48,418.56/286.15
  6. Step 6: Final answer
    x = 169.21

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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.