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Finding the Fourth Proportional to 286.30, 429.58 and 121.82

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Solution

The fourth proportional to 286.30, 429.58 and 121.82 is: 182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.30 : 429.58 = 121.82 : x
  2. Step 2: Convert to fraction form
    286.30/429.58 = 121.82/x
  3. Step 3: Cross multiply
    286.30x = 429.58 × 121.82
  4. Step 4: Simplify right side
    286.30x = 52,329.44
  5. Step 5: Solve for x
    x = 52,329.44/286.30
  6. Step 6: Final answer
    x = 182.78

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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.