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Finding the Fourth Proportional to 1,226.64, 1,840.02 and 361.02

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Solution

The fourth proportional to 1,226.64, 1,840.02 and 361.02 is: 541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.64 : 1,840.02 = 361.02 : x
  2. Step 2: Convert to fraction form
    1,226.64/1,840.02 = 361.02/x
  3. Step 3: Cross multiply
    1,226.64x = 1,840.02 × 361.02
  4. Step 4: Simplify right side
    1,226.64x = 664,284.02
  5. Step 5: Solve for x
    x = 664,284.02/1,226.64
  6. Step 6: Final answer
    x = 541.55

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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.