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Finding the Fourth Proportional to 426.56, 637.20 and 361.25

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Solution

The fourth proportional to 426.56, 637.20 and 361.25 is: 539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.56 : 637.20 = 361.25 : x
  2. Step 2: Convert to fraction form
    426.56/637.20 = 361.25/x
  3. Step 3: Cross multiply
    426.56x = 637.20 × 361.25
  4. Step 4: Simplify right side
    426.56x = 230,187.70
  5. Step 5: Solve for x
    x = 230,187.70/426.56
  6. Step 6: Final answer
    x = 539.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.