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Finding the Fourth Proportional to 826.90, 1,240.41 and 241.91

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Solution

The fourth proportional to 826.90, 1,240.41 and 241.91 is: 362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.90 : 1,240.41 = 241.91 : x
  2. Step 2: Convert to fraction form
    826.90/1,240.41 = 241.91/x
  3. Step 3: Cross multiply
    826.90x = 1,240.41 × 241.91
  4. Step 4: Simplify right side
    826.90x = 300,065.74
  5. Step 5: Solve for x
    x = 300,065.74/826.90
  6. Step 6: Final answer
    x = 362.88

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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.