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Finding the Fourth Proportional to 449.60, 617.36 and 361.60

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Solution

The fourth proportional to 449.60, 617.36 and 361.60 is: 496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.60 : 617.36 = 361.60 : x
  2. Step 2: Convert to fraction form
    449.60/617.36 = 361.60/x
  3. Step 3: Cross multiply
    449.60x = 617.36 × 361.60
  4. Step 4: Simplify right side
    449.60x = 223,237.38
  5. Step 5: Solve for x
    x = 223,237.38/449.60
  6. Step 6: Final answer
    x = 496.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.