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Finding the Fourth Proportional to 827.97, 1,241.81 and 242.83

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Solution

The fourth proportional to 827.97, 1,241.81 and 242.83 is: 364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.97 : 1,241.81 = 242.83 : x
  2. Step 2: Convert to fraction form
    827.97/1,241.81 = 242.83/x
  3. Step 3: Cross multiply
    827.97x = 1,241.81 × 242.83
  4. Step 4: Simplify right side
    827.97x = 301,548.72
  5. Step 5: Solve for x
    x = 301,548.72/827.97
  6. Step 6: Final answer
    x = 364.20

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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.