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Finding the Fourth Proportional to 821, 1,231.54 and 243.88

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Solution

The fourth proportional to 821, 1,231.54 and 243.88 is: 365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    821 : 1,231.54 = 243.88 : x
  2. Step 2: Convert to fraction form
    821/1,231.54 = 243.88/x
  3. Step 3: Cross multiply
    821x = 1,231.54 × 243.88
  4. Step 4: Simplify right side
    821x = 300,347.98
  5. Step 5: Solve for x
    x = 300,347.98/821
  6. Step 6: Final answer
    x = 365.83

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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.