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Finding the Fourth Proportional to 426.44, 639.28 and 361.86

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Solution

The fourth proportional to 426.44, 639.28 and 361.86 is: 542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.44 : 639.28 = 361.86 : x
  2. Step 2: Convert to fraction form
    426.44/639.28 = 361.86/x
  3. Step 3: Cross multiply
    426.44x = 639.28 × 361.86
  4. Step 4: Simplify right side
    426.44x = 231,329.86
  5. Step 5: Solve for x
    x = 231,329.86/426.44
  6. Step 6: Final answer
    x = 542.47

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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.