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Finding the Fourth Proportional to 286.62, 428.15 and 243.09

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Solution

The fourth proportional to 286.62, 428.15 and 243.09 is: 363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.62 : 428.15 = 243.09 : x
  2. Step 2: Convert to fraction form
    286.62/428.15 = 243.09/x
  3. Step 3: Cross multiply
    286.62x = 428.15 × 243.09
  4. Step 4: Simplify right side
    286.62x = 104,077.77
  5. Step 5: Solve for x
    x = 104,077.77/286.62
  6. Step 6: Final answer
    x = 363.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.