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Finding the Fourth Proportional to 1,226.92, 1,840.26 and 361.24

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Solution

The fourth proportional to 1,226.92, 1,840.26 and 361.24 is: 541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.92 : 1,840.26 = 361.24 : x
  2. Step 2: Convert to fraction form
    1,226.92/1,840.26 = 361.24/x
  3. Step 3: Cross multiply
    1,226.92x = 1,840.26 × 361.24
  4. Step 4: Simplify right side
    1,226.92x = 664,775.52
  5. Step 5: Solve for x
    x = 664,775.52/1,226.92
  6. Step 6: Final answer
    x = 541.82

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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.