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Finding the Fourth Proportional to 1,221.98, 1,833.09 and 356.29

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Solution

The fourth proportional to 1,221.98, 1,833.09 and 356.29 is: 534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.98 : 1,833.09 = 356.29 : x
  2. Step 2: Convert to fraction form
    1,221.98/1,833.09 = 356.29/x
  3. Step 3: Cross multiply
    1,221.98x = 1,833.09 × 356.29
  4. Step 4: Simplify right side
    1,221.98x = 653,107.05
  5. Step 5: Solve for x
    x = 653,107.05/1,221.98
  6. Step 6: Final answer
    x = 534.47

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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.