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Finding the Fourth Proportional to 821.07, 1,231.82 and 243.95

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Solution

The fourth proportional to 821.07, 1,231.82 and 243.95 is: 365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.07 : 1,231.82 = 243.95 : x
  2. Step 2: Convert to fraction form
    821.07/1,231.82 = 243.95/x
  3. Step 3: Cross multiply
    821.07x = 1,231.82 × 243.95
  4. Step 4: Simplify right side
    821.07x = 300,495.11
  5. Step 5: Solve for x
    x = 300,495.11/821.07
  6. Step 6: Final answer
    x = 365.98

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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.