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Finding the Fourth Proportional to 826.04, 1,238.96 and 278.21

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Solution

The fourth proportional to 826.04, 1,238.96 and 278.21 is: 417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.04 : 1,238.96 = 278.21 : x
  2. Step 2: Convert to fraction form
    826.04/1,238.96 = 278.21/x
  3. Step 3: Cross multiply
    826.04x = 1,238.96 × 278.21
  4. Step 4: Simplify right side
    826.04x = 344,694.85
  5. Step 5: Solve for x
    x = 344,694.85/826.04
  6. Step 6: Final answer
    x = 417.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.