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Finding the Fourth Proportional to 826.55, 1,239.60 and 241.41

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Solution

The fourth proportional to 826.55, 1,239.60 and 241.41 is: 362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.55 : 1,239.60 = 241.41 : x
  2. Step 2: Convert to fraction form
    826.55/1,239.60 = 241.41/x
  3. Step 3: Cross multiply
    826.55x = 1,239.60 × 241.41
  4. Step 4: Simplify right side
    826.55x = 299,251.84
  5. Step 5: Solve for x
    x = 299,251.84/826.55
  6. Step 6: Final answer
    x = 362.05

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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.