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Finding the Fourth Proportional to 286.82, 429.93 and 163.24

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Solution

The fourth proportional to 286.82, 429.93 and 163.24 is: 244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.82 : 429.93 = 163.24 : x
  2. Step 2: Convert to fraction form
    286.82/429.93 = 163.24/x
  3. Step 3: Cross multiply
    286.82x = 429.93 × 163.24
  4. Step 4: Simplify right side
    286.82x = 70,180.70
  5. Step 5: Solve for x
    x = 70,180.70/286.82
  6. Step 6: Final answer
    x = 244.69

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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.