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Finding the Fourth Proportional to 827.60, 1,241.22 and 242.46

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Solution

The fourth proportional to 827.60, 1,241.22 and 242.46 is: 363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.60 : 1,241.22 = 242.46 : x
  2. Step 2: Convert to fraction form
    827.60/1,241.22 = 242.46/x
  3. Step 3: Cross multiply
    827.60x = 1,241.22 × 242.46
  4. Step 4: Simplify right side
    827.60x = 300,946.20
  5. Step 5: Solve for x
    x = 300,946.20/827.60
  6. Step 6: Final answer
    x = 363.64

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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.