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Finding the Fourth Proportional to 821.42, 1,232.13 and 244.25

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Solution

The fourth proportional to 821.42, 1,232.13 and 244.25 is: 366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.42 : 1,232.13 = 244.25 : x
  2. Step 2: Convert to fraction form
    821.42/1,232.13 = 244.25/x
  3. Step 3: Cross multiply
    821.42x = 1,232.13 × 244.25
  4. Step 4: Simplify right side
    821.42x = 300,947.75
  5. Step 5: Solve for x
    x = 300,947.75/821.42
  6. Step 6: Final answer
    x = 366.38

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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.