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Finding the Fourth Proportional to 286.83, 429.48 and 221.62

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Solution

The fourth proportional to 286.83, 429.48 and 221.62 is: 331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.83 : 429.48 = 221.62 : x
  2. Step 2: Convert to fraction form
    286.83/429.48 = 221.62/x
  3. Step 3: Cross multiply
    286.83x = 429.48 × 221.62
  4. Step 4: Simplify right side
    286.83x = 95,181.36
  5. Step 5: Solve for x
    x = 95,181.36/286.83
  6. Step 6: Final answer
    x = 331.84

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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.